87928639948800 has 5760 divisors, whose sum is σ = 424682818560000. Its totient is φ = 17510765690880.

The previous prime is 87928639948759. The next prime is 87928639948813. The reversal of 87928639948800 is 884993682978.

87928639948800 is a `hidden beast` number, since 8 + 79 + 2 + 8 + 63 + 9 + 9 + 488 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 87928639948800.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 367902259081 + ... + 367902259319.

It is an arithmetic number, because the mean of its divisors is an integer number (73729656000).

Almost surely, 2^{87928639948800} is an apocalyptic number.

87928639948800 is a gapful number since it is divisible by the number (80) 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 87928639948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212341409280000).

87928639948800 is an abundant number, since it is smaller than the sum of its proper divisors (336754178611200).

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

87928639948800 is a wasteful number, since it uses less digits than its factorization.

87928639948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 3009871872, while the sum is 81.

The spelling of 87928639948800 in words is "eighty-seven trillion, nine hundred twenty-eight billion, six hundred thirty-nine million, nine hundred forty-eight thousand, eight hundred".