251995888330368 has 1024 divisors, whose sum is σ = 897361597440000. Its totient is φ = 62075170160640.

The previous prime is 251995888330253. The next prime is 251995888330393. The reversal of 251995888330368 is 863033888599152.

It is a happy number.

It is a super-2 number, since 2×251995888330368² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a junction number, because it is equal to n+sod(n) for n = 251995888330293 and 251995888330302.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2309778796 + ... + 2309887892.

It is an arithmetic number, because the mean of its divisors is an integer number (876329685000).

Almost surely, 2^{251995888330368} is an apocalyptic number.

251995888330368 is a gapful number since it is divisible by the number (28) 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 251995888330368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448680798720000).

251995888330368 is an abundant number, since it is smaller than the sum of its proper divisors (645365709109632).

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

251995888330368 is a wasteful number, since it uses less digits than its factorization.

251995888330368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109238 (or 109212 counting only the distinct ones).

The product of its (nonzero) digits is 2687385600, while the sum is 78.

The spelling of 251995888330368 in words is "two hundred fifty-one trillion, nine hundred ninety-five billion, eight hundred eighty-eight million, three hundred thirty thousand, three hundred sixty-eight".