87136696857600 has 1320 divisors, whose sum is σ = 349794218070528. Its totient is φ = 21305991168000.

The previous prime is 87136696857589. The next prime is 87136696857611. The reversal of 87136696857600 is 675869663178.

87136696857600 is a `hidden beast` number, since 8 + 7 + 1 + 3 + 6 + 6 + 9 + 6 + 8 + 5 + 7 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (87136696857589) and next prime (87136696857611).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4070466097 + ... + 4070487503.

Almost surely, 2^{87136696857600} is an apocalyptic number.

87136696857600 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 87136696857600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174897109035264).

87136696857600 is an abundant number, since it is smaller than the sum of its proper divisors (262657521212928).

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

87136696857600 is a wasteful number, since it uses less digits than its factorization.

87136696857600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21613 (or 21581 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 87136696857600 in words is "eighty-seven trillion, one hundred thirty-six billion, six hundred ninety-six million, eight hundred fifty-seven thousand, six hundred".