253661428980 has 120 divisors (see below), whose sum is σ = 795943348200. Its totient is φ = 67626213120.

The previous prime is 253661428921. The next prime is 253661429023. The reversal of 253661428980 is 89824166352.

253661428980 is a `hidden beast` number, since 2 + 536 + 6 + 1 + 4 + 28 + 9 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 120761810064 + 132899618916 = 347508^2 + 364554^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7352170 + ... + 7386590.

It is an arithmetic number, because the mean of its divisors is an integer number (6632861235).

Almost surely, 2^253661428980 is an apocalyptic number.

253661428980 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 253661428980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397971674100).

253661428980 is an abundant number, since it is smaller than the sum of its proper divisors (542281919220).

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

253661428980 is a wasteful number, since it uses less digits than its factorization.

253661428980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38991 (or 38980 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 253661428980 in words is "two hundred fifty-three billion, six hundred sixty-one million, four hundred twenty-eight thousand, nine hundred eighty".