10852638976 has 81 divisors (see below), whose sum is σ = 23072371021. Its totient is φ = 5093789696.

The previous prime is 10852638943. The next prime is 10852638997. The reversal of 10852638976 is 67983625801.

The square root of 10852638976 is 104176.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8449286400 + 2403352576 = 91920^2 + 49024^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 28335681 + ... + 28336063.

Almost surely, 2^10852638976 is an apocalyptic number.

10852638976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10852638976 is the 104176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10852638976

10852638976 is an abundant number, since it is smaller than the sum of its proper divisors (12219732045).

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

10852638976 is an frugal number, since it uses more digits than its factorization.

10852638976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 55.

The spelling of 10852638976 in words is "ten billion, eight hundred fifty-two million, six hundred thirty-eight thousand, nine hundred seventy-six".