251319985378560 has 2592 divisors, whose sum is σ = 1088599935870720. Its totient is φ = 53184906657792.

The previous prime is 251319985378459. The next prime is 251319985378589. The reversal of 251319985378560 is 65873589913152.

251319985378560 is a `hidden beast` number, since 2 + 5 + 1 + 3 + 1 + 9 + 9 + 8 + 53 + 7 + 8 + 560 = 666.

It is a super-2 number, since 2×251319985378560² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 161205891061 + ... + 161205892619.

It is an arithmetic number, because the mean of its divisors is an integer number (419984543160).

Almost surely, 2^{251319985378560} is an apocalyptic number.

251319985378560 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 251319985378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544299967935360).

251319985378560 is an abundant number, since it is smaller than the sum of its proper divisors (837279950492160).

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

251319985378560 is a wasteful number, since it uses less digits than its factorization.

251319985378560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1881 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 489888000, while the sum is 72.

The spelling of 251319985378560 in words is "two hundred fifty-one trillion, three hundred nineteen billion, nine hundred eighty-five million, three hundred seventy-eight thousand, five hundred sixty".