31362685920 has 768 divisors, whose sum is σ = 124104960000. Its totient is φ = 7357464576.

The previous prime is 31362685891. The next prime is 31362685931. The reversal of 31362685920 is 2958626313.

31362685920 is a `hidden beast` number, since 3 + 1 + 36 + 26 + 8 + 592 + 0 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 69849856 + ... + 69850304.

It is an arithmetic number, because the mean of its divisors is an integer number (161595000).

Almost surely, 2^31362685920 is an apocalyptic number.

31362685920 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 31362685920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62052480000).

31362685920 is an abundant number, since it is smaller than the sum of its proper divisors (92742274080).

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

31362685920 is a wasteful number, since it uses less digits than its factorization.

31362685920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 31362685920 in words is "thirty-one billion, three hundred sixty-two million, six hundred eighty-five thousand, nine hundred twenty".