249953552480 has 48 divisors (see below), whose sum is σ = 616189853664. Its totient is φ = 95634401280.

The previous prime is 249953552467. The next prime is 249953552507. The reversal of 249953552480 is 84255359942.

It is a super-2 number, since 2×249953552480² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33957401 + ... + 33964760.

It is an arithmetic number, because the mean of its divisors is an integer number (12837288618).

Almost surely, 2^249953552480 is an apocalyptic number.

249953552480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249953552480 is an abundant number, since it is smaller than the sum of its proper divisors (366236301184).

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

249953552480 is a wasteful number, since it uses less digits than its factorization.

249953552480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67922199 (or 67922191 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 56.

The spelling of 249953552480 in words is "two hundred forty-nine billion, nine hundred fifty-three million, five hundred fifty-two thousand, four hundred eighty".