53039201749632 has 1920 divisors, whose sum is σ = 205375899738240. Its totient is φ = 13473970126848.

The previous prime is 53039201749631. The next prime is 53039201749661. The reversal of 53039201749632 is 23694710293035.

53039201749632 is a `hidden beast` number, since 5 + 30 + 3 + 92 + 0 + 1 + 7 + 496 + 32 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (53039201749631) 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 239 ways as a sum of consecutive naturals, for example, 16487160888 + ... + 16487164104.

It is an arithmetic number, because the mean of its divisors is an integer number (106966614447).

Almost surely, 2^{53039201749632} 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 53039201749632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102687949869120).

53039201749632 is an abundant number, since it is smaller than the sum of its proper divisors (152336697988608).

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

53039201749632 is a wasteful number, since it uses less digits than its factorization.

53039201749632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3380 (or 3352 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 53039201749632 in words is "fifty-three trillion, thirty-nine billion, two hundred one million, seven hundred forty-nine thousand, six hundred thirty-two".