87987717417600 has 9216 divisors, whose sum is σ = 470903860224000. Its totient is φ = 15736799232000.

The previous prime is 87987717417557. The next prime is 87987717417617. The reversal of 87987717417600 is 671471778978.

87987717417600 is a `hidden beast` number, since 8 + 7 + 9 + 8 + 7 + 7 + 1 + 7 + 4 + 1 + 7 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 988626038356 + ... + 988626038444.

It is an arithmetic number, because the mean of its divisors is an integer number (51096339000).

Almost surely, 2^{87987717417600} is an apocalyptic number.

87987717417600 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 87987717417600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235451930112000).

87987717417600 is an abundant number, since it is smaller than the sum of its proper divisors (382916142806400).

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

87987717417600 is a wasteful number, since it uses less digits than its factorization.

87987717417600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 232339968, while the sum is 72.

The spelling of 87987717417600 in words is "eighty-seven trillion, nine hundred eighty-seven billion, seven hundred seventeen million, four hundred seventeen thousand, six hundred".