48765496780800 has 1152 divisors, whose sum is σ = 181795395600000. Its totient is φ = 12811567104000.

The previous prime is 48765496780747. The next prime is 48765496780811. The reversal of 48765496780800 is 808769456784.

48765496780800 is a `hidden beast` number, since 4 + 8 + 7 + 6 + 549 + 6 + 78 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 95 ways as a sum of consecutive naturals, for example, 32532018451 + ... + 32532019949.

It is an arithmetic number, because the mean of its divisors is an integer number (157808503125).

Almost surely, 2^{48765496780800} is an apocalyptic number.

48765496780800 is a gapful number since it is divisible by the number (40) 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 48765496780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90897697800000).

48765496780800 is an abundant number, since it is smaller than the sum of its proper divisors (133029898819200).

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

48765496780800 is a wasteful number, since it uses less digits than its factorization.

48765496780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874 (or 1843 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 48765496780800 in words is "forty-eight trillion, seven hundred sixty-five billion, four hundred ninety-six million, seven hundred eighty thousand, eight hundred".