253995333166656 has 448 divisors, whose sum is σ = 840177405849600. Its totient is φ = 74850432307200.

The previous prime is 253995333166651. The next prime is 253995333166661. The reversal of 253995333166656 is 656661333599352.

It is an interprime number because it is at equal distance from previous prime (253995333166651) and next prime (253995333166661).

It is a super-4 number, since 4×253995333166656⁴ (a number of 59 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (253995333166651) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26858661 + ... + 35062491.

It is an arithmetic number, because the mean of its divisors is an integer number (1875395995200).

Almost surely, 2^{253995333166656} 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 253995333166656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420088702924800).

253995333166656 is an abundant number, since it is smaller than the sum of its proper divisors (586182072682944).

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

253995333166656 is a wasteful number, since it uses less digits than its factorization.

253995333166656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8203935 (or 8203919 counting only the distinct ones).

The product of its digits is 2125764000, while the sum is 72.

The spelling of 253995333166656 in words is "two hundred fifty-three trillion, nine hundred ninety-five billion, three hundred thirty-three million, one hundred sixty-six thousand, six hundred fifty-six".