253754424000 has 2688 divisors, whose sum is σ = 1247934105600. Its totient is φ = 49268736000.

The previous prime is 253754423999. The next prime is 253754424017. The reversal of 253754424000 is 424457352.

253754424000 is a `hidden beast` number, since 2 + 5 + 375 + 44 + 240 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3476087964 + ... + 3476088036.

It is an arithmetic number, because the mean of its divisors is an integer number (464261200).

Almost surely, 2^253754424000 is an apocalyptic number.

253754424000 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 253754424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623967052800).

253754424000 is an abundant number, since it is smaller than the sum of its proper divisors (994179681600).

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

253754424000 is a wasteful number, since it uses less digits than its factorization.

253754424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

The spelling of 253754424000 in words is "two hundred fifty-three billion, seven hundred fifty-four million, four hundred twenty-four thousand".