11629609992 has 320 divisors, whose sum is σ = 43737724800. Its totient is φ = 2788162560.

The previous prime is 11629609969. The next prime is 11629609997. The reversal of 11629609992 is 29990692611.

11629609992 is a `hidden beast` number, since 1 + 1 + 6 + 29 + 609 + 9 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11629609997) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 639684 + ... + 657612.

It is an arithmetic number, because the mean of its divisors is an integer number (136680390).

Almost surely, 2^11629609992 is an apocalyptic number.

11629609992 is a gapful number since it is divisible by the number (12) 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 11629609992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21868862400).

11629609992 is an abundant number, since it is smaller than the sum of its proper divisors (32108114808).

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

11629609992 is a wasteful number, since it uses less digits than its factorization.

11629609992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17978 (or 17965 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 54.

The spelling of 11629609992 in words is "eleven billion, six hundred twenty-nine million, six hundred nine thousand, nine hundred ninety-two".