253100893920 has 192 divisors, whose sum is σ = 959119418880. Its totient is φ = 54806796288.

The previous prime is 253100893907. The next prime is 253100893921. The reversal of 253100893920 is 29398001352.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253100893921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1918467 + ... + 2046146.

It is an arithmetic number, because the mean of its divisors is an integer number (4995413640).

Almost surely, 2^253100893920 is an apocalyptic number.

253100893920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253100893920 is an abundant number, since it is smaller than the sum of its proper divisors (706018524960).

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

253100893920 is a wasteful number, since it uses less digits than its factorization.

253100893920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3964657 (or 3964649 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 253100893920 in words is "two hundred fifty-three billion, one hundred million, eight hundred ninety-three thousand, nine hundred twenty".