53629920768 has 160 divisors (see below), whose sum is σ = 149480432640. Its totient is φ = 17068605440.

The previous prime is 53629920767. The next prime is 53629920821. The reversal of 53629920768 is 86702992635.

It is a super-4 number, since 4×53629920768⁴ (a number of 44 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53629920763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2950813 + ... + 2968931.

It is an arithmetic number, because the mean of its divisors is an integer number (934252704).

Almost surely, 2^53629920768 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 53629920768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74740216320).

53629920768 is an abundant number, since it is smaller than the sum of its proper divisors (95850511872).

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

53629920768 is a wasteful number, since it uses less digits than its factorization.

53629920768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18228 (or 18212 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 57.

The spelling of 53629920768 in words is "fifty-three billion, six hundred twenty-nine million, nine hundred twenty thousand, seven hundred sixty-eight".