52129694880 has 240 divisors, whose sum is σ = 194797227240. Its totient is φ = 13083475968.

The previous prime is 52129694873. The next prime is 52129694899. The reversal of 52129694880 is 8849692125.

It is a happy number.

52129694880 is a `hidden beast` number, since 521 + 29 + 6 + 94 + 8 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 48018833424 + 4110861456 = 219132^2 + 64116^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 102016 + ... + 338624.

Almost surely, 2^52129694880 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 52129694880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97398613620).

52129694880 is an abundant number, since it is smaller than the sum of its proper divisors (142667532360).

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

52129694880 is a wasteful number, since it uses less digits than its factorization.

52129694880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236653 (or 236636 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 52129694880 in words is "fifty-two billion, one hundred twenty-nine million, six hundred ninety-four thousand, eight hundred eighty".