253875380760 has 80 divisors (see below), whose sum is σ = 853303374000. Its totient is φ = 67700100672.

The previous prime is 253875380743. The next prime is 253875380767. The reversal of 253875380760 is 67083578352.

253875380760 is a `hidden beast` number, since 2 + 5 + 38 + 7 + 538 + 0 + 76 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 253875380697 and 253875380706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253875380767) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 39175060 + ... + 39181539.

It is an arithmetic number, because the mean of its divisors is an integer number (10666292175).

Almost surely, 2^253875380760 is an apocalyptic number.

253875380760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253875380760 is an abundant number, since it is smaller than the sum of its proper divisors (599427993240).

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

253875380760 is a wasteful number, since it uses less digits than its factorization.

253875380760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78356622 (or 78356609 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 253875380760 in words is "two hundred fifty-three billion, eight hundred seventy-five million, three hundred eighty thousand, seven hundred sixty".