87907528800 has 864 divisors, whose sum is σ = 398351066400. Its totient is φ = 18544619520.

The previous prime is 87907528781. The next prime is 87907528897. The reversal of 87907528800 is 882570978.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 13756006 + ... + 13762394.

It is an arithmetic number, because the mean of its divisors is an integer number (461054475).

Almost surely, 2^87907528800 is an apocalyptic number.

87907528800 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 87907528800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199175533200).

87907528800 is an abundant number, since it is smaller than the sum of its proper divisors (310443537600).

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

87907528800 is a wasteful number, since it uses less digits than its factorization.

87907528800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6445 (or 6419 counting only the distinct ones).

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

The spelling of 87907528800 in words is "eighty-seven billion, nine hundred seven million, five hundred twenty-eight thousand, eight hundred".