249952108800 has 216 divisors, whose sum is σ = 847190873536. Its totient is φ = 64852254720.

The previous prime is 249952108789. The next prime is 249952108841. The reversal of 249952108800 is 8801259942.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 249952108800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 534477 + ... + 886323.

Almost surely, 2^249952108800 is an apocalyptic number.

249952108800 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 249952108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423595436768).

249952108800 is an abundant number, since it is smaller than the sum of its proper divisors (597238764736).

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

249952108800 is a wasteful number, since it uses less digits than its factorization.

249952108800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351913 (or 351894 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 249952108800 in words is "two hundred forty-nine billion, nine hundred fifty-two million, one hundred eight thousand, eight hundred".