254753120160 has 1152 divisors, whose sum is σ = 1111051468800. Its totient is φ = 51627663360.

The previous prime is 254753120143. The next prime is 254753120173. The reversal of 254753120160 is 61021357452.

254753120160 is a `hidden beast` number, since 2 + 5 + 47 + 531 + 20 + 1 + 60 = 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 191 ways as a sum of consecutive naturals, for example, 1112458926 + ... + 1112459154.

It is an arithmetic number, because the mean of its divisors is an integer number (964454400).

Almost surely, 2^254753120160 is an apocalyptic number.

254753120160 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 254753120160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555525734400).

254753120160 is an abundant number, since it is smaller than the sum of its proper divisors (856298348640).

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

254753120160 is a wasteful number, since it uses less digits than its factorization.

254753120160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 254753120160 in words is "two hundred fifty-four billion, seven hundred fifty-three million, one hundred twenty thousand, one hundred sixty".