1020879725184 has 512 divisors, whose sum is σ = 3445240780800. Its totient is φ = 294578380800.

The previous prime is 1020879725149. The next prime is 1020879725219. The reversal of 1020879725184 is 4815279780201.

1020879725184 is a `hidden beast` number, since 10 + 20 + 8 + 7 + 97 + 2 + 518 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1020879725149) and next prime (1020879725219).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1020879725184.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 203725239 + ... + 203730249.

It is an arithmetic number, because the mean of its divisors is an integer number (6728985900).

Almost surely, 2^{1020879725184} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020879725184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722620390400).

1020879725184 is an abundant number, since it is smaller than the sum of its proper divisors (2424361055616).

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

1020879725184 is a wasteful number, since it uses less digits than its factorization.

1020879725184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5301 (or 5283 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 1020879725184 in words is "one trillion, twenty billion, eight hundred seventy-nine million, seven hundred twenty-five thousand, one hundred eighty-four".