253886291904 has 336 divisors, whose sum is σ = 849091845120. Its totient is φ = 66502840320.

The previous prime is 253886291861. The next prime is 253886291929. The reversal of 253886291904 is 409192688352.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5518404 + ... + 5564220.

Almost surely, 2^253886291904 is an apocalyptic number.

253886291904 is a gapful number since it is divisible by the number (24) 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 253886291904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424545922560).

253886291904 is an abundant number, since it is smaller than the sum of its proper divisors (595205553216).

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

253886291904 is a wasteful number, since it uses less digits than its factorization.

253886291904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45896 (or 45879 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 57.

The spelling of 253886291904 in words is "two hundred fifty-three billion, eight hundred eighty-six million, two hundred ninety-one thousand, nine hundred four".