11629957924920 has 256 divisors, whose sum is σ = 38071323993600. Its totient is φ = 2831967774720.

The previous prime is 11629957924919. The next prime is 11629957924931. The reversal of 11629957924920 is 2942975992611.

It is a happy number.

It is a congruent 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, 8382310 + ... + 9670730.

It is an arithmetic number, because the mean of its divisors is an integer number (148716109350).

Almost surely, 2^{11629957924920} is an apocalyptic number.

11629957924920 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 11629957924920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19035661996800).

11629957924920 is an abundant number, since it is smaller than the sum of its proper divisors (26441366068680).

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

11629957924920 is a wasteful number, since it uses less digits than its factorization.

11629957924920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288598 (or 1288594 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 66.

The spelling of 11629957924920 in words is "eleven trillion, six hundred twenty-nine billion, nine hundred fifty-seven million, nine hundred twenty-four thousand, nine hundred twenty".