10637488993120 has 384 divisors, whose sum is σ = 29673495936000. Its totient is φ = 3562835189760.

The previous prime is 10637488993111. The next prime is 10637488993123. The reversal of 10637488993120 is 2139988473601.

It is a super-2 number, since 2×10637488993120² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10637488993123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 444903726 + ... + 444927634.

It is an arithmetic number, because the mean of its divisors is an integer number (77274729000).

Almost surely, 2^{10637488993120} is an apocalyptic number.

10637488993120 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 10637488993120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14836747968000).

10637488993120 is an abundant number, since it is smaller than the sum of its proper divisors (19036006942880).

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

10637488993120 is a wasteful number, since it uses less digits than its factorization.

10637488993120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24366 (or 24358 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 61.

The spelling of 10637488993120 in words is "ten trillion, six hundred thirty-seven billion, four hundred eighty-eight million, nine hundred ninety-three thousand, one hundred twenty".