253678672789200 has 960 divisors, whose sum is σ = 948512523059200. Its totient is φ = 64313355110400.

The previous prime is 253678672789177. The next prime is 253678672789237. The reversal of 253678672789200 is 2987276876352.

253678672789200 is a `hidden beast` number, since 2 + 536 + 7 + 8 + 6 + 7 + 2 + 7 + 89 + 2 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8366971641 + ... + 8367001959.

Almost surely, 2^{253678672789200} is an apocalyptic number.

253678672789200 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 253678672789200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474256261529600).

253678672789200 is an abundant number, since it is smaller than the sum of its proper divisors (694833850270000).

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

253678672789200 is a wasteful number, since it uses less digits than its factorization.

253678672789200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30817 (or 30800 counting only the distinct ones).

The product of its (nonzero) digits is 853493760, while the sum is 72.

The spelling of 253678672789200 in words is "two hundred fifty-three trillion, six hundred seventy-eight billion, six hundred seventy-two million, seven hundred eighty-nine thousand, two hundred".