87535520640 has 448 divisors, whose sum is σ = 315219975840. Its totient is φ = 23233941504.

The previous prime is 87535520629. The next prime is 87535520693. The reversal of 87535520640 is 4602553578.

87535520640 is a `hidden beast` number, since 8 + 7 + 53 + 552 + 0 + 6 + 40 = 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 55 ways as a sum of consecutive naturals, for example, 174026629 + ... + 174027131.

Almost surely, 2^87535520640 is an apocalyptic number.

87535520640 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 87535520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157609987920).

87535520640 is an abundant number, since it is smaller than the sum of its proper divisors (227684455200).

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

87535520640 is an equidigital number, since it uses as much as digits as its factorization.

87535520640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 87535520640 in words is "eighty-seven billion, five hundred thirty-five million, five hundred twenty thousand, six hundred forty".