254375976960 has 784 divisors, whose sum is σ = 1046892573216. Its totient is φ = 58095304704.

The previous prime is 254375976941. The next prime is 254375976973. The reversal of 254375976960 is 69679573452.

254375976960 is a `hidden beast` number, since 2 + 5 + 4 + 37 + 597 + 6 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 209018272 + ... + 209019488.

Almost surely, 2^254375976960 is an apocalyptic number.

254375976960 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 254375976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523446286608).

254375976960 is an abundant number, since it is smaller than the sum of its proper divisors (792516596256).

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

254375976960 is an frugal number, since it uses more digits than its factorization.

254375976960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 85730400, while the sum is 63.

The spelling of 254375976960 in words is "two hundred fifty-four billion, three hundred seventy-five million, nine hundred seventy-six thousand, nine hundred sixty".