87957100800 has 432 divisors, whose sum is σ = 323551791360. Its totient is φ = 23380992000.

The previous prime is 87957100769. The next prime is 87957100801. The reversal of 87957100800 is 800175978.

87957100800 is a `hidden beast` number, since 8 + 79 + 571 + 0 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×87957100800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (87957100801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74476210 + ... + 74477390.

It is an arithmetic number, because the mean of its divisors is an integer number (748962480).

Almost surely, 2^87957100800 is an apocalyptic number.

87957100800 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 87957100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161775895680).

87957100800 is an abundant number, since it is smaller than the sum of its proper divisors (235594690560).

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

87957100800 is a wasteful number, since it uses less digits than its factorization.

87957100800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 87957100800 in words is "eighty-seven billion, nine hundred fifty-seven million, one hundred thousand, eight hundred".