10031962972080 has 320 divisors, whose sum is σ = 35978707215360. Its totient is φ = 2264846696448.

The previous prime is 10031962972061. The next prime is 10031962972189. The reversal of 10031962972080 is 8027926913001.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 952788256 + ... + 952798784.

It is an arithmetic number, because the mean of its divisors is an integer number (112433460048).

Almost surely, 2^{10031962972080} is an apocalyptic number.

10031962972080 is a gapful number since it is divisible by the number (10) 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 10031962972080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17989353607680).

10031962972080 is an abundant number, since it is smaller than the sum of its proper divisors (25946744243280).

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

10031962972080 is a wasteful number, since it uses less digits than its factorization.

10031962972080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17468 (or 17462 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The spelling of 10031962972080 in words is "ten trillion, thirty-one billion, nine hundred sixty-two million, nine hundred seventy-two thousand, eighty".