249889006080 has 960 divisors, whose sum is σ = 1030841450496. Its totient is φ = 54743040000.

The previous prime is 249889006067. The next prime is 249889006123. The reversal of 249889006080 is 80600988942.

249889006080 is a `hidden beast` number, since 2 + 498 + 8 + 90 + 0 + 60 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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, 754951515 + ... + 754951845.

Almost surely, 2^249889006080 is an apocalyptic number.

249889006080 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 249889006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515420725248).

249889006080 is an abundant number, since it is smaller than the sum of its proper divisors (780952444416).

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

249889006080 is a wasteful number, since it uses less digits than its factorization.

249889006080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 249889006080 in words is "two hundred forty-nine billion, eight hundred eighty-nine million, six thousand, eighty".