253857795984 has 480 divisors, whose sum is σ = 808255768320. Its totient is φ = 77124483072.

The previous prime is 253857795973. The next prime is 253857796039. The reversal of 253857795984 is 489597758352.

253857795984 is a `hidden beast` number, since 2 + 5 + 385 + 77 + 95 + 98 + 4 = 666.

253857795984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 965238637 + ... + 965238899.

It is an arithmetic number, because the mean of its divisors is an integer number (1683866184).

Almost surely, 2^253857795984 is an apocalyptic number.

253857795984 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 253857795984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404127884160).

253857795984 is an abundant number, since it is smaller than the sum of its proper divisors (554397972336).

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

253857795984 is a wasteful number, since it uses less digits than its factorization.

253857795984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 394 counting only the distinct ones).

The product of its digits is 762048000, while the sum is 72.

The spelling of 253857795984 in words is "two hundred fifty-three billion, eight hundred fifty-seven million, seven hundred ninety-five thousand, nine hundred eighty-four".