1251596880 has 160 divisors (see below), whose sum is σ = 4538102400. Its totient is φ = 316182528.

The previous prime is 1251596849. The next prime is 1251596881. The reversal of 1251596880 is 886951521.

It is a happy number.

1251596880 is a `hidden beast` number, since 1 + 2 + 51 + 596 + 8 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1251596881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25792 + ... + 56288.

It is an arithmetic number, because the mean of its divisors is an integer number (28363140).

Almost surely, 2^1251596880 is an apocalyptic number.

1251596880 is a gapful number since it is divisible by the number (10) 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 1251596880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2269051200).

1251596880 is an abundant number, since it is smaller than the sum of its proper divisors (3286505520).

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

1251596880 is a wasteful number, since it uses less digits than its factorization.

1251596880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30538 (or 30526 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The square root of 1251596880 is about 35377.9151449036. The cubic root of 1251596880 is about 1077.6758663061.

The spelling of 1251596880 in words is "one billion, two hundred fifty-one million, five hundred ninety-six thousand, eight hundred eighty".