52742332608 has 336 divisors, whose sum is σ = 172168206336. Its totient is φ = 13943255040.

The previous prime is 52742332607. The next prime is 52742332649. The reversal of 52742332608 is 80623324725.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 52742332608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52742332607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22039060 + ... + 22041452.

It is an arithmetic number, because the mean of its divisors is an integer number (512405376).

Almost surely, 2^52742332608 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 52742332608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86084103168).

52742332608 is an abundant number, since it is smaller than the sum of its proper divisors (119425873728).

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

52742332608 is a wasteful number, since it uses less digits than its factorization.

52742332608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2492 (or 2459 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 52742332608 in words is "fifty-two billion, seven hundred forty-two million, three hundred thirty-two thousand, six hundred eight".