87524027136 has 864 divisors, whose sum is σ = 331414487040. Its totient is φ = 21570748416.

The previous prime is 87524027131. The next prime is 87524027147. The reversal of 87524027136 is 63172042578.

It is a super-2 number, since 2×87524027136² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 87524027091 and 87524027100.

It is not an unprimeable number, because it can be changed into a prime (87524027131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 505919146 + ... + 505919318.

Almost surely, 2^87524027136 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 87524027136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165707243520).

87524027136 is an abundant number, since it is smaller than the sum of its proper divisors (243890459904).

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

87524027136 is a wasteful number, since it uses less digits than its factorization.

87524027136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 87524027136 in words is "eighty-seven billion, five hundred twenty-four million, twenty-seven thousand, one hundred thirty-six".