264179853665280 has 880 divisors, whose sum is σ = 1088549411410560. Its totient is φ = 60013405274112.

The previous prime is 264179853665279. The next prime is 264179853665311. The reversal of 264179853665280 is 82566358971462.

264179853665280 is a `hidden beast` number, since 2 + 6 + 4 + 1 + 7 + 9 + 8 + 536 + 6 + 5 + 2 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 264179853665199 and 264179853665208.

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 79 ways as a sum of consecutive naturals, for example, 472916376 + ... + 473474664.

It is an arithmetic number, because the mean of its divisors is an integer number (1236987967512).

It is a 1-persistent number, because it is pandigital, but 2⋅264179853665280 = 528359707330560 is not.

Almost surely, 2^{264179853665280} is an apocalyptic number.

264179853665280 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 264179853665280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544274705705280).

264179853665280 is an abundant number, since it is smaller than the sum of its proper divisors (824369557745280).

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

264179853665280 is a wasteful number, since it uses less digits than its factorization.

264179853665280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558496 (or 558469 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 72.

The spelling of 264179853665280 in words is "two hundred sixty-four trillion, one hundred seventy-nine billion, eight hundred fifty-three million, six hundred sixty-five thousand, two hundred eighty".