253943026560 has 256 divisors, whose sum is σ = 901133280000. Its totient is φ = 67586254848.

The previous prime is 253943026541. The next prime is 253943026621. The reversal of 253943026560 is 65620349352.

253943026560 is a `hidden beast` number, since 2 + 5 + 39 + 4 + 30 + 26 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9023391 + ... + 9051489.

It is an arithmetic number, because the mean of its divisors is an integer number (3520051875).

Almost surely, 2^253943026560 is an apocalyptic number.

253943026560 is a gapful number since it is divisible by the number (20) 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 253943026560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450566640000).

253943026560 is an abundant number, since it is smaller than the sum of its proper divisors (647190253440).

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

253943026560 is a wasteful number, since it uses less digits than its factorization.

253943026560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28650 (or 28632 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 253943026560 in words is "two hundred fifty-three billion, nine hundred forty-three million, twenty-six thousand, five hundred sixty".