253768080384 has 792 divisors, whose sum is σ = 952543086768. Its totient is φ = 66886041600.

The previous prime is 253768080359. The next prime is 253768080437. The reversal of 253768080384 is 483080867352.

253768080384 is a `hidden beast` number, since 253 + 7 + 6 + 8 + 0 + 8 + 0 + 384 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 253768080384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 158505184 + ... + 158506784.

Almost surely, 2^253768080384 is an apocalyptic number.

253768080384 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 253768080384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476271543384).

253768080384 is an abundant number, since it is smaller than the sum of its proper divisors (698775006384).

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

253768080384 is a wasteful number, since it uses less digits than its factorization.

253768080384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 253768080384 in words is "two hundred fifty-three billion, seven hundred sixty-eight million, eighty thousand, three hundred eighty-four".