249891359640 has 128 divisors (see below), whose sum is σ = 811168646400. Its totient is φ = 61220113920.

The previous prime is 249891359621. The next prime is 249891359689. The reversal of 249891359640 is 46953198942.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50430 + ... + 708749.

It is an arithmetic number, because the mean of its divisors is an integer number (6337255050).

Almost surely, 2^249891359640 is an apocalyptic number.

249891359640 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 249891359640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405584323200).

249891359640 is an abundant number, since it is smaller than the sum of its proper divisors (561277286760).

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

249891359640 is a wasteful number, since it uses less digits than its factorization.

249891359640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759417 (or 759413 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 60.

The spelling of 249891359640 in words is "two hundred forty-nine billion, eight hundred ninety-one million, three hundred fifty-nine thousand, six hundred forty".