253609057044000 has 1728 divisors, whose sum is σ = 1082999947760640. Its totient is φ = 55036620288000.

The previous prime is 253609057043987. The next prime is 253609057044037. The reversal of 253609057044000 is 440750906352.

253609057044000 is a `hidden beast` number, since 2 + 5 + 36 + 0 + 9 + 0 + 570 + 4 + 40 + 0 + 0 = 666.

253609057044000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12835106121 + ... + 12835125879.

It is an arithmetic number, because the mean of its divisors is an integer number (626736080880).

Almost surely, 2^{253609057044000} is an apocalyptic number.

253609057044000 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 253609057044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541499973880320).

253609057044000 is an abundant number, since it is smaller than the sum of its proper divisors (829390890716640).

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

253609057044000 is a wasteful number, since it uses less digits than its factorization.

253609057044000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19912 (or 19860 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 253609057044000 in words is "two hundred fifty-three trillion, six hundred nine billion, fifty-seven million, forty-four thousand".