253252935936 has 1728 divisors, whose sum is σ = 1049955379200. Its totient is φ = 59988418560.

The previous prime is 253252935913. The next prime is 253252935941. The reversal of 253252935936 is 639539252352.

253252935936 is a `hidden beast` number, since 2 + 5 + 3 + 25 + 29 + 3 + 593 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3051240151 + ... + 3051240233.

Almost surely, 2^253252935936 is an apocalyptic number.

253252935936 is a gapful number since it is divisible by the number (26) 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 253252935936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524977689600).

253252935936 is an abundant number, since it is smaller than the sum of its proper divisors (796702443264).

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

253252935936 is an equidigital number, since it uses as much as digits as its factorization.

253252935936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 119 counting only the distinct ones).

The product of its digits is 13122000, while the sum is 54.

The spelling of 253252935936 in words is "two hundred fifty-three billion, two hundred fifty-two million, nine hundred thirty-five thousand, nine hundred thirty-six".