13290772992 has 640 divisors, whose sum is σ = 46668441600. Its totient is φ = 3269984256.

The previous prime is 13290772987. The next prime is 13290773021. The reversal of 13290772992 is 29927709231.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 149334484 + ... + 149334572.

It is an arithmetic number, because the mean of its divisors is an integer number (72919440).

Almost surely, 2^13290772992 is an apocalyptic number.

13290772992 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 13290772992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23334220800).

13290772992 is an abundant number, since it is smaller than the sum of its proper divisors (33377668608).

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

13290772992 is a wasteful number, since it uses less digits than its factorization.

13290772992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 51.

The spelling of 13290772992 in words is "thirteen billion, two hundred ninety million, seven hundred seventy-two thousand, nine hundred ninety-two".