264404253131320 has 64 divisors (see below), whose sum is σ = 595247986008000. Its totient is φ = 105701544437760.

The previous prime is 264404253131309. The next prime is 264404253131323. The reversal of 264404253131320 is 23131352404462.

It is a super-2 number, since 2×264404253131320² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264404253131323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1564650672 + ... + 1564819648.

It is an arithmetic number, because the mean of its divisors is an integer number (9300749781375).

Almost surely, 2^{264404253131320} is an apocalyptic number.

264404253131320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264404253131320 is an abundant number, since it is smaller than the sum of its proper divisors (330843732876680).

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

264404253131320 is a wasteful number, since it uses less digits than its factorization.

264404253131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191008 (or 191004 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 40.

The spelling of 264404253131320 in words is "two hundred sixty-four trillion, four hundred four billion, two hundred fifty-three million, one hundred thirty-one thousand, three hundred twenty".