251232773008896 has 960 divisors, whose sum is σ = 950359640947200. Its totient is φ = 64002552496128.

The previous prime is 251232773008891. The next prime is 251232773008901. The reversal of 251232773008896 is 698800377232152.

251232773008896 is a `hidden beast` number, since 2 + 5 + 1 + 232 + 7 + 7 + 300 + 8 + 8 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (251232773008891) and next prime (251232773008901).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251232773008891) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 531116680 + ... + 531589496.

It is an arithmetic number, because the mean of its divisors is an integer number (989957959320).

Almost surely, 2^{251232773008896} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 251232773008896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475179820473600).

251232773008896 is an abundant number, since it is smaller than the sum of its proper divisors (699126867938304).

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

251232773008896 is a wasteful number, since it uses less digits than its factorization.

251232773008896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472904 (or 472865 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 251232773008896 in words is "two hundred fifty-one trillion, two hundred thirty-two billion, seven hundred seventy-three million, eight thousand, eight hundred ninety-six".