253047162672 has 160 divisors (see below), whose sum is σ = 770388192000. Its totient is φ = 79250752512.

The previous prime is 253047162649. The next prime is 253047162721. The reversal of 253047162672 is 276261740352.

253047162672 is a `hidden beast` number, since 2 + 53 + 0 + 471 + 62 + 6 + 72 = 666.

253047162672 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4281579 + ... + 4340277.

It is an arithmetic number, because the mean of its divisors is an integer number (4814926200).

Almost surely, 2^253047162672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253047162672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385194096000).

253047162672 is an abundant number, since it is smaller than the sum of its proper divisors (517341029328).

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

253047162672 is a wasteful number, since it uses less digits than its factorization.

253047162672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59320 (or 59308 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 253047162672 in words is "two hundred fifty-three billion, forty-seven million, one hundred sixty-two thousand, six hundred seventy-two".