249888738000 has 640 divisors, whose sum is σ = 905990012928. Its totient is φ = 58732800000.

The previous prime is 249888737977. The next prime is 249888738007. The reversal of 249888738000 is 837888942.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249888738007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 542057770 + ... + 542058230.

Almost surely, 2^249888738000 is an apocalyptic number.

249888738000 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 249888738000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452995006464).

249888738000 is an abundant number, since it is smaller than the sum of its proper divisors (656101274928).

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

249888738000 is a wasteful number, since it uses less digits than its factorization.

249888738000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 57.

The spelling of 249888738000 in words is "two hundred forty-nine billion, eight hundred eighty-eight million, seven hundred thirty-eight thousand".