249080832000 has 2688 divisors, whose sum is σ = 1250312813568. Its totient is φ = 47775744000.

The previous prime is 249080831983. The next prime is 249080832173. The reversal of 249080832000 is 238080942.

It is a tau number, because it is divible by the number of its divisors (2688).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19160063994 + ... + 19160064006.

It is an arithmetic number, because the mean of its divisors is an integer number (465146136).

Almost surely, 2^249080832000 is an apocalyptic number.

249080832000 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 249080832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625156406784).

249080832000 is an abundant number, since it is smaller than the sum of its proper divisors (1001231981568).

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

249080832000 is an equidigital number, since it uses as much as digits as its factorization.

249080832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 249080832000 in words is "two hundred forty-nine billion, eighty million, eight hundred thirty-two thousand".