10372688649120 has 384 divisors, whose sum is σ = 37915084247040. Its totient is φ = 2334751211520.

The previous prime is 10372688649091. The next prime is 10372688649143. The reversal of 10372688649120 is 2194688627301.

It is a happy number.

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, 61864600 + ... + 62032040.

It is an arithmetic number, because the mean of its divisors is an integer number (98737198560).

Almost surely, 2^{10372688649120} is an apocalyptic number.

10372688649120 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 10372688649120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18957542123520).

10372688649120 is an abundant number, since it is smaller than the sum of its proper divisors (27542395597920).

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

10372688649120 is a wasteful number, since it uses less digits than its factorization.

10372688649120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167748 (or 167740 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 10372688649120 in words is "ten trillion, three hundred seventy-two billion, six hundred eighty-eight million, six hundred forty-nine thousand, one hundred twenty".