253927545717456 has 1440 divisors, whose sum is σ = 879368548810752. Its totient is φ = 67783489044480.

The previous prime is 253927545717431. The next prime is 253927545717493. The reversal of 253927545717456 is 654717545729352.

253927545717456 is a `hidden beast` number, since 2 + 5 + 3 + 9 + 2 + 7 + 5 + 4 + 571 + 7 + 45 + 6 = 666.

It is a super-2 number, since 2×253927545717456² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 101449277901 + ... + 101449280403.

Almost surely, 2^{253927545717456} is an apocalyptic number.

253927545717456 is a gapful number since it is divisible by the number (26) 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 253927545717456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439684274405376).

253927545717456 is an abundant number, since it is smaller than the sum of its proper divisors (625441003093296).

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

253927545717456 is a wasteful number, since it uses less digits than its factorization.

253927545717456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2881 (or 2855 counting only the distinct ones).

The product of its digits is 2222640000, while the sum is 72.

The spelling of 253927545717456 in words is "two hundred fifty-three trillion, nine hundred twenty-seven billion, five hundred forty-five million, seven hundred seventeen thousand, four hundred fifty-six".