87557316000 has 576 divisors, whose sum is σ = 364028805504. Its totient is φ = 18192384000.

The previous prime is 87557315981. The next prime is 87557316023. The reversal of 87557316000 is 61375578.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6461232 + ... + 6474768.

It is an arithmetic number, because the mean of its divisors is an integer number (631994454).

Almost surely, 2^87557316000 is an apocalyptic number.

87557316000 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 87557316000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182014402752).

87557316000 is an abundant number, since it is smaller than the sum of its proper divisors (276471489504).

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

87557316000 is a wasteful number, since it uses less digits than its factorization.

87557316000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13590 (or 13565 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The spelling of 87557316000 in words is "eighty-seven billion, five hundred fifty-seven million, three hundred sixteen thousand".