253905490080 has 864 divisors, whose sum is σ = 1020100483584. Its totient is φ = 59533056000.

The previous prime is 253905490079. The next prime is 253905490147. The reversal of 253905490080 is 80094509352.

253905490080 is a `hidden beast` number, since 25 + 3 + 9 + 0 + 549 + 0 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 145838010 + ... + 145839750.

It is an arithmetic number, because the mean of its divisors is an integer number (1180671856).

Almost surely, 2^253905490080 is an apocalyptic number.

253905490080 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 253905490080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510050241792).

253905490080 is an abundant number, since it is smaller than the sum of its proper divisors (766194993504).

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

253905490080 is a wasteful number, since it uses less digits than its factorization.

253905490080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 253905490080 in words is "two hundred fifty-three billion, nine hundred five million, four hundred ninety thousand, eighty".