253543414256 has 80 divisors (see below), whose sum is σ = 564554342400. Its totient is φ = 109094169600.

The previous prime is 253543414249. The next prime is 253543414259. The reversal of 253543414256 is 652414345352.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253543414259) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4247336 + ... + 4306616.

It is an arithmetic number, because the mean of its divisors is an integer number (7056929280).

Almost surely, 2^253543414256 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 253543414256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282277171200).

253543414256 is an abundant number, since it is smaller than the sum of its proper divisors (311010928144).

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

253543414256 is a wasteful number, since it uses less digits than its factorization.

253543414256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60598 (or 60592 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 44.

The spelling of 253543414256 in words is "two hundred fifty-three billion, five hundred forty-three million, four hundred fourteen thousand, two hundred fifty-six".