248257279892160 has 5376 divisors, whose sum is σ = 1210470137856000. Its totient is φ = 47702172672000.

The previous prime is 248257279892047. The next prime is 248257279892203. The reversal of 248257279892160 is 61298972752842.

248257279892160 is a `hidden beast` number, since 2 + 4 + 8 + 257 + 279 + 8 + 92 + 16 + 0 = 666.

It is a super-2 number, since 2×248257279892160² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 255671760475 + ... + 255671761445.

It is an arithmetic number, because the mean of its divisors is an integer number (225161856000).

Almost surely, 2^{248257279892160} is an apocalyptic number.

248257279892160 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 248257279892160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605235068928000).

248257279892160 is an abundant number, since it is smaller than the sum of its proper divisors (962212857963840).

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

248257279892160 is a wasteful number, since it uses less digits than its factorization.

248257279892160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 248257279892160 in words is "two hundred forty-eight trillion, two hundred fifty-seven billion, two hundred seventy-nine million, eight hundred ninety-two thousand, one hundred sixty".