253857477456 has 240 divisors, whose sum is σ = 785769761088. Its totient is φ = 75868416000.

The previous prime is 253857477427. The next prime is 253857477469. The reversal of 253857477456 is 654774758352.

It is a happy number.

253857477456 is a `hidden beast` number, since 2 + 5 + 3 + 8 + 574 + 7 + 7 + 4 + 56 = 666.

253857477456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 253857477393 and 253857477402.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 34066531 + ... + 34073981.

Almost surely, 2^253857477456 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 253857477456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392884880544).

253857477456 is an abundant number, since it is smaller than the sum of its proper divisors (531912283632).

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

253857477456 is a wasteful number, since it uses less digits than its factorization.

253857477456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7770 (or 7761 counting only the distinct ones).

The product of its digits is 197568000, while the sum is 63.

The spelling of 253857477456 in words is "two hundred fifty-three billion, eight hundred fifty-seven million, four hundred seventy-seven thousand, four hundred fifty-six".