253499368752000 has 1536 divisors, whose sum is σ = 1077910266101760. Its totient is φ = 55869253632000.

The previous prime is 253499368751977. The next prime is 253499368752011. The reversal of 253499368752000 is 257863994352.

253499368752000 is a `hidden beast` number, since 2 + 5 + 3 + 49 + 9 + 3 + 68 + 7 + 520 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8655681357 + ... + 8655710643.

It is an arithmetic number, because the mean of its divisors is an integer number (701764496160).

Almost surely, 2^{253499368752000} is an apocalyptic number.

253499368752000 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 253499368752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538955133050880).

253499368752000 is an abundant number, since it is smaller than the sum of its proper divisors (824410897349760).

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

253499368752000 is a wasteful number, since it uses less digits than its factorization.

253499368752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29637 (or 29612 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 253499368752000 in words is "two hundred fifty-three trillion, four hundred ninety-nine billion, three hundred sixty-eight million, seven hundred fifty-two thousand".