253655424000 has 1056 divisors, whose sum is σ = 1026006052032. Its totient is φ = 59719680000.

The previous prime is 253655423993. The next prime is 253655424013. The reversal of 253655424000 is 424556352.

253655424000 is a `hidden beast` number, since 2 + 5 + 365 + 54 + 240 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 468863730 + ... + 468864270.

Almost surely, 2^253655424000 is an apocalyptic number.

253655424000 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 253655424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513003026016).

253655424000 is an abundant number, since it is smaller than the sum of its proper divisors (772350628032).

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

253655424000 is a wasteful number, since it uses less digits than its factorization.

253655424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 253655424000 in words is "two hundred fifty-three billion, six hundred fifty-five million, four hundred twenty-four thousand".