249233325160 has 64 divisors (see below), whose sum is σ = 567307800000. Its totient is φ = 98532859392.

The previous prime is 249233325091. The next prime is 249233325181. The reversal of 249233325160 is 61523332942.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9595471 + ... + 9621409.

It is an arithmetic number, because the mean of its divisors is an integer number (8864184375).

Almost surely, 2^249233325160 is an apocalyptic number.

249233325160 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 249233325160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283653900000).

249233325160 is an abundant number, since it is smaller than the sum of its proper divisors (318074474840).

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

249233325160 is a wasteful number, since it uses less digits than its factorization.

249233325160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28738 (or 28734 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 40.

The spelling of 249233325160 in words is "two hundred forty-nine billion, two hundred thirty-three million, three hundred twenty-five thousand, one hundred sixty".