252841754880 has 864 divisors, whose sum is σ = 1062310623360. Its totient is φ = 56567808000.

The previous prime is 252841754827. The next prime is 252841754923. The reversal of 252841754880 is 88457148252.

252841754880 is a `hidden beast` number, since 2 + 5 + 2 + 8 + 4 + 17 + 548 + 80 = 666.

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

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54360555 + ... + 54365205.

Almost surely, 2^252841754880 is an apocalyptic number.

252841754880 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 252841754880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531155311680).

252841754880 is an abundant number, since it is smaller than the sum of its proper divisors (809468868480).

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

252841754880 is a wasteful number, since it uses less digits than its factorization.

252841754880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4716 (or 4685 counting only the distinct ones).

The product of its (nonzero) digits is 5734400, while the sum is 54.

The spelling of 252841754880 in words is "two hundred fifty-two billion, eight hundred forty-one million, seven hundred fifty-four thousand, eight hundred eighty".