251161067520 has 1440 divisors, whose sum is σ = 1044249163776. Its totient is φ = 57330892800.

The previous prime is 251161067519. The next prime is 251161067561. The reversal of 251161067520 is 25760161152.

251161067520 is a `hidden beast` number, since 2 + 5 + 11 + 61 + 0 + 67 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6788136942 + ... + 6788136978.

Almost surely, 2^251161067520 is an apocalyptic number.

251161067520 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 251161067520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522124581888).

251161067520 is an abundant number, since it is smaller than the sum of its proper divisors (793088096256).

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

251161067520 is an equidigital number, since it uses as much as digits as its factorization.

251161067520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 251161067520 in words is "two hundred fifty-one billion, one hundred sixty-one million, sixty-seven thousand, five hundred twenty".