254472172560 has 800 divisors, whose sum is σ = 976983659520. Its totient is φ = 61138022400.

The previous prime is 254472172519. The next prime is 254472172573. The reversal of 254472172560 is 65271274452.

254472172560 is a `hidden beast` number, since 2 + 5 + 4 + 4 + 72 + 17 + 2 + 560 = 666.

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 159 ways as a sum of consecutive naturals, for example, 232819374 + ... + 232820466.

Almost surely, 2^254472172560 is an apocalyptic number.

254472172560 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 254472172560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488491829760).

254472172560 is an abundant number, since it is smaller than the sum of its proper divisors (722511486960).

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

254472172560 is a wasteful number, since it uses less digits than its factorization.

254472172560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 254472172560 in words is "two hundred fifty-four billion, four hundred seventy-two million, one hundred seventy-two thousand, five hundred sixty".