1079855884800 has 4320 divisors, whose sum is σ = 5539190469120. Its totient is φ = 204374016000.

The previous prime is 1079855884763. The next prime is 1079855884819. The reversal of 1079855884800 is 84885589701.

1079855884800 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 8 + 5 + 588 + 48 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-3 number, since 3×1079855884800³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 34834060785 + ... + 34834060815.

It is an arithmetic number, because the mean of its divisors is an integer number (1282220016).

Almost surely, 2^{1079855884800} is an apocalyptic number.

1079855884800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1079855884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2769595234560).

1079855884800 is an abundant number, since it is smaller than the sum of its proper divisors (4459334584320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1079855884800 is a wasteful number, since it uses less digits than its factorization.

1079855884800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 63.

The spelling of 1079855884800 in words is "one trillion, seventy-nine billion, eight hundred fifty-five million, eight hundred eighty-four thousand, eight hundred".