52193744460 has 432 divisors, whose sum is σ = 188308350048. Its totient is φ = 11623772160.

The previous prime is 52193744459. The next prime is 52193744461. The reversal of 52193744460 is 6444739125.

52193744460 is a `hidden beast` number, since 5 + 219 + 374 + 4 + 4 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (52193744459) and next prime (52193744461).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (52193744461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 95417907 + ... + 95418453.

Almost surely, 2^52193744460 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 52193744460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94154175024).

52193744460 is an abundant number, since it is smaller than the sum of its proper divisors (136114605588).

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

52193744460 is a wasteful number, since it uses less digits than its factorization.

52193744460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 52193744460 in words is "fifty-two billion, one hundred ninety-three million, seven hundred forty-four thousand, four hundred sixty".