249490725120 has 648 divisors, whose sum is σ = 1068310466496. Its totient is φ = 52636925952.

The previous prime is 249490725103. The next prime is 249490725139. The reversal of 249490725120 is 21527094942.

249490725120 is a `hidden beast` number, since 2 + 49 + 4 + 90 + 7 + 2 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13619007 + ... + 13637313.

Almost surely, 2^249490725120 is an apocalyptic number.

249490725120 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 249490725120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534155233248).

249490725120 is an abundant number, since it is smaller than the sum of its proper divisors (818819741376).

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

249490725120 is a wasteful number, since it uses less digits than its factorization.

249490725120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18367 (or 18337 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 249490725120 in words is "two hundred forty-nine billion, four hundred ninety million, seven hundred twenty-five thousand, one hundred twenty".