253350557460 has 1080 divisors, whose sum is σ = 1094927165640. Its totient is φ = 48570762240.

The previous prime is 253350557443. The next prime is 253350557479. The reversal of 253350557460 is 64755053352.

253350557460 is a `hidden beast` number, since 2 + 5 + 3 + 3 + 50 + 557 + 46 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 52934965776 + 200415591684 = 230076^2 + 447678^2 .

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 polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 124863726 + ... + 124865754.

Almost surely, 2^253350557460 is an apocalyptic number.

253350557460 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 253350557460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547463582820).

253350557460 is an abundant number, since it is smaller than the sum of its proper divisors (841576608180).

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

253350557460 is a wasteful number, since it uses less digits than its factorization.

253350557460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2099 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 1890000, while the sum is 45.

The spelling of 253350557460 in words is "two hundred fifty-three billion, three hundred fifty million, five hundred fifty-seven thousand, four hundred sixty".