253532522880 has 1536 divisors, whose sum is σ = 1162725580800. Its totient is φ = 51697336320.

The previous prime is 253532522879. The next prime is 253532522897. The reversal of 253532522880 is 88225235352.

253532522880 is a `hidden beast` number, since 2 + 535 + 32 + 5 + 2 + 2 + 8 + 80 = 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 191 ways as a sum of consecutive naturals, for example, 341227789 + ... + 341228531.

It is an arithmetic number, because the mean of its divisors is an integer number (756982800).

Almost surely, 2^253532522880 is an apocalyptic number.

253532522880 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 253532522880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581362790400).

253532522880 is an abundant number, since it is smaller than the sum of its proper divisors (909193057920).

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

253532522880 is a wasteful number, since it uses less digits than its factorization.

253532522880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 253532522880 in words is "two hundred fifty-three billion, five hundred thirty-two million, five hundred twenty-two thousand, eight hundred eighty".