87356016000 has 1024 divisors, whose sum is σ = 362946355200. Its totient is φ = 20459520000.

The previous prime is 87356015993. The next prime is 87356016029. The reversal of 87356016000 is 61065378.

87356016000 is a `hidden beast` number, since 87 + 3 + 560 + 16 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 147311704 + ... + 147312296.

It is an arithmetic number, because the mean of its divisors is an integer number (354439800).

Almost surely, 2^87356016000 is an apocalyptic number.

87356016000 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 87356016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181473177600).

87356016000 is an abundant number, since it is smaller than the sum of its proper divisors (275590339200).

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

87356016000 is a wasteful number, since it uses less digits than its factorization.

87356016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 87356016000 in words is "eighty-seven billion, three hundred fifty-six million, sixteen thousand".