87310569600 has 768 divisors, whose sum is σ = 329455104000. Its totient is φ = 22574039040.

The previous prime is 87310569587. The next prime is 87310569611. The reversal of 87310569600 is 696501378.

It is a happy number.

87310569600 is a `hidden beast` number, since 8 + 7 + 31 + 0 + 5 + 6 + 9 + 600 = 666.

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

It is a congruent number.

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, 687484737 + ... + 687484863.

It is an arithmetic number, because the mean of its divisors is an integer number (428978000).

Almost surely, 2^87310569600 is an apocalyptic number.

87310569600 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 87310569600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164727552000).

87310569600 is an abundant number, since it is smaller than the sum of its proper divisors (242144534400).

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

87310569600 is a wasteful number, since it uses less digits than its factorization.

87310569600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 87310569600 in words is "eighty-seven billion, three hundred ten million, five hundred sixty-nine thousand, six hundred".