251263268612640 has 1152 divisors, whose sum is σ = 975717550080000. Its totient is φ = 58545163100160.

The previous prime is 251263268612639. The next prime is 251263268612753. The reversal of 251263268612640 is 46216862362152.

251263268612640 is a `hidden beast` number, since 2 + 5 + 1 + 2 + 63 + 268 + 61 + 264 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 5403604111 + ... + 5403650609.

It is an arithmetic number, because the mean of its divisors is an integer number (846977040000).

Almost surely, 2^{251263268612640} is an apocalyptic number.

251263268612640 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 251263268612640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487858775040000).

251263268612640 is an abundant number, since it is smaller than the sum of its proper divisors (724454281467360).

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

251263268612640 is a wasteful number, since it uses less digits than its factorization.

251263268612640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46870 (or 46859 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 251263268612640 in words is "two hundred fifty-one trillion, two hundred sixty-three billion, two hundred sixty-eight million, six hundred twelve thousand, six hundred forty".