253544281920 has 560 divisors, whose sum is σ = 929903639808. Its totient is φ = 65527418880.

The previous prime is 253544281897. The next prime is 253544281951. The reversal of 253544281920 is 29182445352.

253544281920 is a `hidden beast` number, since 2 + 5 + 3 + 544 + 2 + 81 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 444035235 + ... + 444035805.

Almost surely, 2^253544281920 is an apocalyptic number.

253544281920 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 253544281920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464951819904).

253544281920 is an abundant number, since it is smaller than the sum of its proper divisors (676359357888).

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

253544281920 is a wasteful number, since it uses less digits than its factorization.

253544281920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 253544281920 in words is "two hundred fifty-three billion, five hundred forty-four million, two hundred eighty-one thousand, nine hundred twenty".