32087131020 has 480 divisors, whose sum is σ = 118271881728. Its totient is φ = 7131276288.

The previous prime is 32087130953. The next prime is 32087131031. The reversal of 32087131020 is 2013178023.

32087131020 is a `hidden beast` number, since 320 + 8 + 7 + 1 + 310 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 68708827 + ... + 68709293.

Almost surely, 2^32087131020 is an apocalyptic number.

32087131020 is a gapful number since it is divisible by the number (30) 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 32087131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59135940864).

32087131020 is an abundant number, since it is smaller than the sum of its proper divisors (86184750708).

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

32087131020 is a wasteful number, since it uses less digits than its factorization.

32087131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 32087131020 in words is "thirty-two billion, eighty-seven million, one hundred thirty-one thousand, twenty".