87617642112 has 2048 divisors, whose sum is σ = 386039808000. Its totient is φ = 18811699200.

The previous prime is 87617642089. The next prime is 87617642137. The reversal of 87617642112 is 21124671678.

87617642112 is a `hidden beast` number, since 8 + 7 + 617 + 6 + 4 + 21 + 1 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (225792) is a multiple of the sum of its prime factors (147).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2037619563 + ... + 2037619605.

It is an arithmetic number, because the mean of its divisors is an integer number (188496000).

Almost surely, 2^87617642112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87617642112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193019904000).

87617642112 is an abundant number, since it is smaller than the sum of its proper divisors (298422165888).

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

87617642112 is a wasteful number, since it uses less digits than its factorization.

87617642112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 129 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The spelling of 87617642112 in words is "eighty-seven billion, six hundred seventeen million, six hundred forty-two thousand, one hundred twelve".