251051161120416 has 384 divisors, whose sum is σ = 753762942777600. Its totient is φ = 81233739509760.

The previous prime is 251051161120393. The next prime is 251051161120451. The reversal of 251051161120416 is 614021161150152.

251051161120416 is a `hidden beast` number, since 2 + 5 + 1 + 0 + 5 + 1 + 1 + 611 + 20 + 4 + 16 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 62435004486 + ... + 62435008506.

It is an arithmetic number, because the mean of its divisors is an integer number (1962924330150).

Almost surely, 2^{251051161120416} 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 251051161120416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376881471388800).

251051161120416 is an abundant number, since it is smaller than the sum of its proper divisors (502711781657184).

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

251051161120416 is a wasteful number, since it uses less digits than its factorization.

251051161120416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8109 (or 8095 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The spelling of 251051161120416 in words is "two hundred fifty-one trillion, fifty-one billion, one hundred sixty-one million, one hundred twenty thousand, four hundred sixteen".