253855969920 has 1440 divisors, whose sum is σ = 1098695824380. Its totient is φ = 55682629632.

The previous prime is 253855969907. The next prime is 253855969933. The reversal of 253855969920 is 29969558352.

253855969920 is a `hidden beast` number, since 2 + 5 + 38 + 5 + 596 + 9 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (253855969907) and next prime (253855969933).

It can be written as a sum of positive squares in 6 ways, for example, as 221118133824 + 32737836096 = 470232^2 + 180936^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 3477479004 + ... + 3477479076.

Almost surely, 2^253855969920 is an apocalyptic number.

253855969920 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 253855969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549347912190).

253855969920 is an abundant number, since it is smaller than the sum of its proper divisors (844839854460).

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

253855969920 is an equidigital number, since it uses as much as digits as its factorization.

253855969920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 52488000, while the sum is 63.

The spelling of 253855969920 in words is "two hundred fifty-three billion, eight hundred fifty-five million, nine hundred sixty-nine thousand, nine hundred twenty".