251325127278720 has 768 divisors, whose sum is σ = 982085452508160. Its totient is φ = 60910714368000.

The previous prime is 251325127278703. The next prime is 251325127278737. The reversal of 251325127278720 is 27872721523152.

251325127278720 is a `hidden beast` number, since 2 + 5 + 1 + 3 + 2 + 512 + 7 + 27 + 87 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (251325127278703) and next prime (251325127278737).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 6998537565 + ... + 6998573475.

It is an arithmetic number, because the mean of its divisors is an integer number (1278757099620).

Almost surely, 2^{251325127278720} is an apocalyptic number.

251325127278720 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 251325127278720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491042726254080).

251325127278720 is an abundant number, since it is smaller than the sum of its proper divisors (730760325229440).

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

251325127278720 is a wasteful number, since it uses less digits than its factorization.

251325127278720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40047 (or 40023 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 251325127278720 in words is "two hundred fifty-one trillion, three hundred twenty-five billion, one hundred twenty-seven million, two hundred seventy-eight thousand, seven hundred twenty".