31385965590 has 384 divisors, whose sum is σ = 105072577920. Its totient is φ = 6622027776.

The previous prime is 31385965579. The next prime is 31385965603. The reversal of 31385965590 is 9556958313.

It is a happy number.

31385965590 is a `hidden beast` number, since 3 + 1 + 3 + 85 + 9 + 6 + 559 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11918914 + ... + 11921546.

It is an arithmetic number, because the mean of its divisors is an integer number (273626505).

Almost surely, 2^31385965590 is an apocalyptic number.

31385965590 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31385965590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52536288960).

31385965590 is an abundant number, since it is smaller than the sum of its proper divisors (73686612330).

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

31385965590 is a wasteful number, since it uses less digits than its factorization.

31385965590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2733 (or 2720 counting only the distinct ones).

The product of its (nonzero) digits is 4374000, while the sum is 54.

The spelling of 31385965590 in words is "thirty-one billion, three hundred eighty-five million, nine hundred sixty-five thousand, five hundred ninety".