249215016960 has 2688 divisors, whose sum is σ = 1236573112320. Its totient is φ = 44845498368.

The previous prime is 249215016959. The next prime is 249215016961. The reversal of 249215016960 is 69610512942.

249215016960 is a `hidden beast` number, since 2 + 4 + 9 + 21 + 501 + 69 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (249215016959) and next prime (249215016961).

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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249215016961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10835435509 + ... + 10835435531.

It is an arithmetic number, because the mean of its divisors is an integer number (460034640).

Almost surely, 2^249215016960 is an apocalyptic number.

249215016960 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 249215016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618286556160).

249215016960 is an abundant number, since it is smaller than the sum of its proper divisors (987358095360).

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

249215016960 is a wasteful number, since it uses less digits than its factorization.

249215016960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 249215016960 in words is "two hundred forty-nine billion, two hundred fifteen million, sixteen thousand, nine hundred sixty".