252298126080 has 3240 divisors, whose sum is σ = 1300237668576. Its totient is φ = 45546209280.

The previous prime is 252298126061. The next prime is 252298126123. The reversal of 252298126080 is 80621892252.

252298126080 is a `hidden beast` number, since 2 + 5 + 2 + 29 + 8 + 12 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

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 359 ways as a sum of consecutive naturals, for example, 14841066232 + ... + 14841066248.

Almost surely, 2^252298126080 is an apocalyptic number.

252298126080 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 252298126080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650118834288).

252298126080 is an abundant number, since it is smaller than the sum of its proper divisors (1047939542496).

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

252298126080 is a wasteful number, since it uses less digits than its factorization.

252298126080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 252298126080 in words is "two hundred fifty-two billion, two hundred ninety-eight million, one hundred twenty-six thousand, eighty".