87636635432520 has 256 divisors, whose sum is σ = 267575644512000. Its totient is φ = 22957769834496.

The previous prime is 87636635432513. The next prime is 87636635432527. The reversal of 87636635432520 is 2523453663678.

87636635432520 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (87636635432513) and next prime (87636635432527).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (87636635432527) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2361073002 + ... + 2361110118.

It is an arithmetic number, because the mean of its divisors is an integer number (1045217361375).

Almost surely, 2^{87636635432520} 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 87636635432520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133787822256000).

87636635432520 is an abundant number, since it is smaller than the sum of its proper divisors (179939009079480).

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

87636635432520 is a wasteful number, since it uses less digits than its factorization.

87636635432520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38272 (or 38268 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 60.

The spelling of 87636635432520 in words is "eighty-seven trillion, six hundred thirty-six billion, six hundred thirty-five million, four hundred thirty-two thousand, five hundred twenty".