252861388416 has 640 divisors, whose sum is σ = 937616803200. Its totient is φ = 65864835072.

The previous prime is 252861388393. The next prime is 252861388441. The reversal of 252861388416 is 614883168252.

252861388416 is a `hidden beast` number, since 2 + 5 + 2 + 8 + 613 + 8 + 8 + 4 + 16 = 666.

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 79 ways as a sum of consecutive naturals, for example, 78307890 + ... + 78311118.

It is an arithmetic number, because the mean of its divisors is an integer number (1465026255).

Almost surely, 2^252861388416 is an apocalyptic number.

252861388416 is a gapful number since it is divisible by the number (26) 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 252861388416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468808401600).

252861388416 is an abundant number, since it is smaller than the sum of its proper divisors (684755414784).

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

252861388416 is a wasteful number, since it uses less digits than its factorization.

252861388416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3358 (or 3337 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The spelling of 252861388416 in words is "two hundred fifty-two billion, eight hundred sixty-one million, three hundred eighty-eight thousand, four hundred sixteen".