87961630125600 has 1152 divisors, whose sum is σ = 419958120960000. Its totient is φ = 17202574540800.

The previous prime is 87961630125541. The next prime is 87961630125623. The reversal of 87961630125600 is 652103616978.

87961630125600 is a `hidden beast` number, since 8 + 7 + 9 + 6 + 1 + 6 + 3 + 0 + 1 + 25 + 600 = 666.

It is a super-2 number, since 2×87961630125600² (a number of 29 digits) contains 22 as substring.

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

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 191 ways as a sum of consecutive naturals, for example, 26718901 + ... + 29829899.

It is an arithmetic number, because the mean of its divisors is an integer number (364546980000).

Almost surely, 2^{87961630125600} is an apocalyptic number.

87961630125600 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 87961630125600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209979060480000).

87961630125600 is an abundant number, since it is smaller than the sum of its proper divisors (331996490834400).

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

87961630125600 is a wasteful number, since it uses less digits than its factorization.

87961630125600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3111063 (or 3111044 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 87961630125600 in words is "eighty-seven trillion, nine hundred sixty-one billion, six hundred thirty million, one hundred twenty-five thousand, six hundred".