251342255994480 has 640 divisors, whose sum is σ = 993581406720000. Its totient is φ = 57207952207872.

The previous prime is 251342255994463. The next prime is 251342255994493. The reversal of 251342255994480 is 84499552243152.

251342255994480 is a `hidden beast` number, since 2 + 5 + 1 + 3 + 42 + 25 + 5 + 9 + 94 + 480 = 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3848476066 + ... + 3848541374.

It is an arithmetic number, because the mean of its divisors is an integer number (1552470948000).

Almost surely, 2^{251342255994480} is an apocalyptic number.

251342255994480 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 251342255994480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496790703360000).

251342255994480 is an abundant number, since it is smaller than the sum of its proper divisors (742239150725520).

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

251342255994480 is a wasteful number, since it uses less digits than its factorization.

251342255994480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66406 (or 66394 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 63.

The spelling of 251342255994480 in words is "two hundred fifty-one trillion, three hundred forty-two billion, two hundred fifty-five million, nine hundred ninety-four thousand, four hundred eighty".