253845826560 has 352 divisors, whose sum is σ = 915620152320. Its totient is φ = 66679455744.

The previous prime is 253845826547. The next prime is 253845826579. The reversal of 253845826560 is 65628548352.

253845826560 is a `hidden beast` number, since 2 + 5 + 3 + 8 + 4 + 58 + 26 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 253845826497 and 253845826506.

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 31 ways as a sum of consecutive naturals, for example, 9248377 + ... + 9275783.

Almost surely, 2^253845826560 is an apocalyptic number.

253845826560 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 253845826560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457810076160).

253845826560 is an abundant number, since it is smaller than the sum of its proper divisors (661774325760).

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

253845826560 is a wasteful number, since it uses less digits than its factorization.

253845826560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27508 (or 27484 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 253845826560 in words is "two hundred fifty-three billion, eight hundred forty-five million, eight hundred twenty-six thousand, five hundred sixty".