252794691072 has 1200 divisors, whose sum is σ = 983498516352. Its totient is φ = 63890104320.

The previous prime is 252794691053. The next prime is 252794691089. The reversal of 252794691072 is 270196497252.

252794691072 is a `hidden beast` number, since 2 + 5 + 2 + 79 + 469 + 107 + 2 = 666.

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 119 ways as a sum of consecutive naturals, for example, 961196413 + ... + 961196675.

Almost surely, 2^252794691072 is an apocalyptic number.

252794691072 is a gapful number since it is divisible by the number (22) 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 252794691072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491749258176).

252794691072 is an abundant number, since it is smaller than the sum of its proper divisors (730703825280).

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

252794691072 is a wasteful number, since it uses less digits than its factorization.

252794691072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 252794691072 in words is "two hundred fifty-two billion, seven hundred ninety-four million, six hundred ninety-one thousand, seventy-two".