252406796544 has 576 divisors, whose sum is σ = 880986892800. Its totient is φ = 69776474112.

The previous prime is 252406796483. The next prime is 252406796567. The reversal of 252406796544 is 445697604252.

252406796544 is a `hidden beast` number, since 2 + 5 + 2 + 4 + 0 + 6 + 7 + 96 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 495887362 + ... + 495887870.

Almost surely, 2^252406796544 is an apocalyptic number.

252406796544 is a gapful number since it is divisible by the number (24) 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 252406796544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440493446400).

252406796544 is an abundant number, since it is smaller than the sum of its proper divisors (628580096256).

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

252406796544 is a wasteful number, since it uses less digits than its factorization.

252406796544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 252406796544 in words is "two hundred fifty-two billion, four hundred six million, seven hundred ninety-six thousand, five hundred forty-four".