1253164856832 has 720 divisors, whose sum is σ = 4334595202080. Its totient is φ = 354519908352.

The previous prime is 1253164856807. The next prime is 1253164856849. The reversal of 1253164856832 is 2386584613521.

1253164856832 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 1 + 6 + 48 + 568 + 32 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3221503294 + ... + 3221503682.

It is an arithmetic number, because the mean of its divisors is an integer number (6020271114).

Almost surely, 2^{1253164856832} is an apocalyptic number.

1253164856832 is a gapful number since it is divisible by the number (12) 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 1253164856832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2167297601040).

1253164856832 is an abundant number, since it is smaller than the sum of its proper divisors (3081430345248).

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

1253164856832 is an frugal number, since it uses more digits than its factorization.

1253164856832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 538 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 1253164856832 in words is "one trillion, two hundred fifty-three billion, one hundred sixty-four million, eight hundred fifty-six thousand, eight hundred thirty-two".