252647110827776 has 576 divisors, whose sum is σ = 647958221438976. Its totient is φ = 95938029158400.

The previous prime is 252647110827763. The next prime is 252647110827827. The reversal of 252647110827776 is 677728011746252.

It is a hoax number, since the sum of its digits (65) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2776387910 + ... + 2776478906.

It is an arithmetic number, because the mean of its divisors is an integer number (1124927467776).

Almost surely, 2^{252647110827776} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252647110827776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323979110719488).

252647110827776 is an abundant number, since it is smaller than the sum of its proper divisors (395311110611200).

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

252647110827776 is a wasteful number, since it uses less digits than its factorization.

252647110827776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91168 (or 91154 counting only the distinct ones).

The product of its (nonzero) digits is 110638080, while the sum is 65.

The spelling of 252647110827776 in words is "two hundred fifty-two trillion, six hundred forty-seven billion, one hundred ten million, eight hundred twenty-seven thousand, seven hundred seventy-six".