249876088680 has 128 divisors (see below), whose sum is σ = 760979992320. Its totient is φ = 65631436800.

The previous prime is 249876088603. The next prime is 249876088723. The reversal of 249876088680 is 86880678942.

It is a happy number.

249876088680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2285749 + ... + 2392571.

It is an arithmetic number, because the mean of its divisors is an integer number (5945156190).

Almost surely, 2^249876088680 is an apocalyptic number.

249876088680 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 249876088680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380489996160).

249876088680 is an abundant number, since it is smaller than the sum of its proper divisors (511103903640).

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

249876088680 is a wasteful number, since it uses less digits than its factorization.

249876088680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107131 (or 107127 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 66.

The spelling of 249876088680 in words is "two hundred forty-nine billion, eight hundred seventy-six million, eighty-eight thousand, six hundred eighty".