253744505000 has 160 divisors (see below), whose sum is σ = 695260695360. Its totient is φ = 84974400000.

The previous prime is 253744504987. The next prime is 253744505011. The reversal of 253744505000 is 505447352.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1420700 + ... + 1589300.

It is an arithmetic number, because the mean of its divisors is an integer number (4345379346).

Almost surely, 2^253744505000 is an apocalyptic number.

253744505000 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 253744505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347630347680).

253744505000 is an abundant number, since it is smaller than the sum of its proper divisors (441516190360).

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

253744505000 is a wasteful number, since it uses less digits than its factorization.

253744505000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168677 (or 168658 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 35.

The spelling of 253744505000 in words is "two hundred fifty-three billion, seven hundred forty-four million, five hundred five thousand".