264628580012800 has 216 divisors, whose sum is σ = 662487818510336. Its totient is φ = 104646777016320.

The previous prime is 264628580012653. The next prime is 264628580012827. The reversal of 264628580012800 is 8210085826462.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229447177 + ... + 230597623.

Almost surely, 2^{264628580012800} is an apocalyptic number.

264628580012800 is a gapful number since it is divisible by the number (20) 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 264628580012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331243909255168).

264628580012800 is an abundant number, since it is smaller than the sum of its proper divisors (397859238497536).

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

264628580012800 is a wasteful number, since it uses less digits than its factorization.

264628580012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150883 (or 1150864 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 52.

The spelling of 264628580012800 in words is "two hundred sixty-four trillion, six hundred twenty-eight billion, five hundred eighty million, twelve thousand, eight hundred".