52077644892 has 576 divisors, whose sum is σ = 178465996800. Its totient is φ = 12415721472.

The previous prime is 52077644891. The next prime is 52077644921. The reversal of 52077644892 is 29844677025.

52077644892 is a `hidden beast` number, since 520 + 7 + 76 + 4 + 48 + 9 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52077644891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 261696609 + ... + 261696807.

It is an arithmetic number, because the mean of its divisors is an integer number (309836800).

Almost surely, 2^52077644892 is an apocalyptic number.

52077644892 is a gapful number since it is divisible by the number (52) 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 52077644892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89232998400).

52077644892 is an abundant number, since it is smaller than the sum of its proper divisors (126388351908).

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

52077644892 is a wasteful number, since it uses less digits than its factorization.

52077644892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 52077644892 in words is "fifty-two billion, seventy-seven million, six hundred forty-four thousand, eight hundred ninety-two".