253104463310400 has 1008 divisors, whose sum is σ = 972459308620800. Its totient is φ = 62067227443200.

The previous prime is 253104463310389. The next prime is 253104463310429. The reversal of 253104463310400 is 4013364401352.

253104463310400 is a `hidden beast` number, since 2 + 5 + 3 + 1 + 0 + 4 + 4 + 633 + 10 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 97686013105 + ... + 97686015695.

It is an arithmetic number, because the mean of its divisors is an integer number (964741377600).

Almost surely, 2^{253104463310400} is an apocalyptic number.

253104463310400 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 253104463310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486229654310400).

253104463310400 is an abundant number, since it is smaller than the sum of its proper divisors (719354845310400).

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

253104463310400 is a wasteful number, since it uses less digits than its factorization.

253104463310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4404 (or 4386 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 253104463310400 in words is "two hundred fifty-three trillion, one hundred four billion, four hundred sixty-three million, three hundred ten thousand, four hundred".