264113809920000 has 2600 divisors, whose sum is σ = 1027849534263552. Its totient is φ = 67483238400000.

The previous prime is 264113809919923. The next prime is 264113809920071. The reversal of 264113809920000 is 29908311462.

264113809920000 is a `hidden beast` number, since 2 + 64 + 1 + 1 + 380 + 9 + 9 + 200 + 0 + 0 = 666.

It is a super-2 number, since 2×264113809920000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 1163496959887 + ... + 1163496960113.

Almost surely, 2^{264113809920000} is an apocalyptic number.

264113809920000 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 264113809920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513924767131776).

264113809920000 is an abundant number, since it is smaller than the sum of its proper divisors (763735724343552).

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

264113809920000 is an equidigital number, since it uses as much as digits as its factorization.

264113809920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 264113809920000 in words is "two hundred sixty-four trillion, one hundred thirteen billion, eight hundred nine million, nine hundred twenty thousand".