253674412992 has 2016 divisors, whose sum is σ = 1076596125696. Its totient is φ = 55399956480.

The previous prime is 253674412933. The next prime is 253674412997. The reversal of 253674412992 is 299214476352.

It is a happy number.

253674412992 is a `hidden beast` number, since 2 + 53 + 67 + 441 + 2 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-3 number, since 3×253674412992³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253674412997) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5397327913 + ... + 5397327959.

It is an arithmetic number, because the mean of its divisors is an integer number (534025856).

Almost surely, 2^253674412992 is an apocalyptic number.

253674412992 is a gapful number since it is divisible by the number (22) 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 253674412992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538298062848).

253674412992 is an abundant number, since it is smaller than the sum of its proper divisors (822921712704).

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

253674412992 is a wasteful number, since it uses less digits than its factorization.

253674412992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 143 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

It can be divided in two parts, 253674 and 412992, that added together give a palindrome (666666).

The spelling of 253674412992 in words is "two hundred fifty-three billion, six hundred seventy-four million, four hundred twelve thousand, nine hundred ninety-two".