253002686479456 has 96 divisors (see below), whose sum is σ = 512932637700000. Its totient is φ = 122787177676800.

The previous prime is 253002686479447. The next prime is 253002686479463. The reversal of 253002686479456 is 654974686200352.

It is a junction number, because it is equal to n+sod(n) for n = 253002686479391 and 253002686479400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213357435 + ... + 214539973.

It is an arithmetic number, because the mean of its divisors is an integer number (5343048309375).

Almost surely, 2^{253002686479456} 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 253002686479456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256466318850000).

253002686479456 is an abundant number, since it is smaller than the sum of its proper divisors (259929951220544).

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

253002686479456 is a wasteful number, since it uses less digits than its factorization.

253002686479456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183952 (or 1183944 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 67.

The spelling of 253002686479456 in words is "two hundred fifty-three trillion, two billion, six hundred eighty-six million, four hundred seventy-nine thousand, four hundred fifty-six".