253894977840 has 960 divisors, whose sum is σ = 989293824000. Its totient is φ = 53580054528.

The previous prime is 253894977839. The next prime is 253894977907. The reversal of 253894977840 is 48779498352.

253894977840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

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 191 ways as a sum of consecutive naturals, for example, 1275854061 + ... + 1275854259.

It is an arithmetic number, because the mean of its divisors is an integer number (1030514400).

Almost surely, 2^253894977840 is an apocalyptic number.

253894977840 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 253894977840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494646912000).

253894977840 is an abundant number, since it is smaller than the sum of its proper divisors (735398846160).

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

253894977840 is a wasteful number, since it uses less digits than its factorization.

253894977840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 66.

The spelling of 253894977840 in words is "two hundred fifty-three billion, eight hundred ninety-four million, nine hundred seventy-seven thousand, eight hundred forty".