52401188736 has 192 divisors, whose sum is σ = 168404811120. Its totient is φ = 16123318272.

The previous prime is 52401188731. The next prime is 52401188753. The reversal of 52401188736 is 63788110425.

52401188736 is a `hidden beast` number, since 524 + 0 + 1 + 18 + 87 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 52401188691 and 52401188700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52401188731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339556 + ... + 469148.

Almost surely, 2^52401188736 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 52401188736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84202405560).

52401188736 is an abundant number, since it is smaller than the sum of its proper divisors (116003622384).

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

52401188736 is a wasteful number, since it uses less digits than its factorization.

52401188736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129635 (or 129611 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 52401188736 in words is "fifty-two billion, four hundred one million, one hundred eighty-eight thousand, seven hundred thirty-six".