253978470054400 has 3840 divisors, whose sum is σ = 901491740835840. Its totient is φ = 68567747788800.

The previous prime is 253978470054359. The next prime is 253978470054437. The reversal of 253978470054400 is 4450074879352.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 937189926265 + ... + 937189926535.

It is an arithmetic number, because the mean of its divisors is an integer number (234763474176).

Almost surely, 2^{253978470054400} is an apocalyptic number.

253978470054400 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 253978470054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450745870417920).

253978470054400 is an abundant number, since it is smaller than the sum of its proper divisors (647513270781440).

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

253978470054400 is a wasteful number, since it uses less digits than its factorization.

253978470054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 58.

The spelling of 253978470054400 in words is "two hundred fifty-three trillion, nine hundred seventy-eight billion, four hundred seventy million, fifty-four thousand, four hundred".