253474684232880 has 320 divisors, whose sum is σ = 867042370022400. Its totient is φ = 60743569244160.

The previous prime is 253474684232843. The next prime is 253474684232927. The reversal of 253474684232880 is 88232486474352.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1007617677 + ... + 1007869203.

It is an arithmetic number, because the mean of its divisors is an integer number (2709507406320).

Almost surely, 2^{253474684232880} is an apocalyptic number.

253474684232880 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 253474684232880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433521185011200).

253474684232880 is an abundant number, since it is smaller than the sum of its proper divisors (613567685789520).

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

253474684232880 is a wasteful number, since it uses less digits than its factorization.

253474684232880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255932 (or 255926 counting only the distinct ones).

The product of its (nonzero) digits is 495452160, while the sum is 66.

The spelling of 253474684232880 in words is "two hundred fifty-three trillion, four hundred seventy-four billion, six hundred eighty-four million, two hundred thirty-two thousand, eight hundred eighty".