10631326379520 has 1280 divisors, whose sum is σ = 43485088204800. Its totient is φ = 2196504576000.

The previous prime is 10631326379431. The next prime is 10631326379561. The reversal of 10631326379520 is 2597362313601.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×10631326379520² (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10631326379520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5592490570 + ... + 5592492470.

It is an arithmetic number, because the mean of its divisors is an integer number (33972725160).

Almost surely, 2^{10631326379520} is an apocalyptic number.

10631326379520 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 10631326379520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21742544102400).

10631326379520 is an abundant number, since it is smaller than the sum of its proper divisors (32853761825280).

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

10631326379520 is a wasteful number, since it uses less digits than its factorization.

10631326379520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 48.

The spelling of 10631326379520 in words is "ten trillion, six hundred thirty-one billion, three hundred twenty-six million, three hundred seventy-nine thousand, five hundred twenty".