250991401680 has 400 divisors, whose sum is σ = 905473095120. Its totient is φ = 64359235584.

The previous prime is 250991401657. The next prime is 250991401757. The reversal of 250991401680 is 86104199052.

250991401680 is a `hidden beast` number, since 2 + 509 + 91 + 40 + 16 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 15389891136 + 235601510544 = 124056^2 + 485388^2 .

It is a super-2 number, since 2×250991401680² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 48292842 + ... + 48298038.

Almost surely, 2^250991401680 is an apocalyptic number.

250991401680 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 250991401680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452736547560).

250991401680 is an abundant number, since it is smaller than the sum of its proper divisors (654481693440).

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

250991401680 is a wasteful number, since it uses less digits than its factorization.

250991401680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5508 (or 5493 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 250991401680 in words is "two hundred fifty billion, nine hundred ninety-one million, four hundred one thousand, six hundred eighty".