249089870615040 has 800 divisors, whose sum is σ = 1098044650644480. Its totient is φ = 52555221467136.

The previous prime is 249089870615017. The next prime is 249089870615051. The reversal of 249089870615040 is 40516078980942.

249089870615040 is a `hidden beast` number, since 2 + 4 + 9 + 0 + 8 + 9 + 8 + 7 + 0 + 615 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12269521 + ... + 25469999.

Almost surely, 2^{249089870615040} is an apocalyptic number.

249089870615040 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 249089870615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549022325322240).

249089870615040 is an abundant number, since it is smaller than the sum of its proper divisors (848954780029440).

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

249089870615040 is a wasteful number, since it uses less digits than its factorization.

249089870615040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13200534 (or 13200509 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 249089870615040 in words is "two hundred forty-nine trillion, eighty-nine billion, eight hundred seventy million, six hundred fifteen thousand, forty".