249508874160 has 1920 divisors, whose sum is σ = 1143926784000. Its totient is φ = 48283361280.

The previous prime is 249508874143. The next prime is 249508874203. The reversal of 249508874160 is 61478805942.

It is a happy number.

249508874160 is a `hidden beast` number, since 2 + 4 + 9 + 508 + 8 + 74 + 1 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 249508874097 and 249508874106.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2289072186 + ... + 2289072294.

It is an arithmetic number, because the mean of its divisors is an integer number (595795200).

Almost surely, 2^249508874160 is an apocalyptic number.

249508874160 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 249508874160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571963392000).

249508874160 is an abundant number, since it is smaller than the sum of its proper divisors (894417909840).

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

249508874160 is a wasteful number, since it uses less digits than its factorization.

249508874160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 249508874160 in words is "two hundred forty-nine billion, five hundred eight million, eight hundred seventy-four thousand, one hundred sixty".