53522167722100 has 576 divisors, whose sum is σ = 153698262681600. Its totient is φ = 15672496896000.

The previous prime is 53522167722071. The next prime is 53522167722193. The reversal of 53522167722100 is 122776122535.

53522167722100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10036031034 + ... + 10036036366.

It is an arithmetic number, because the mean of its divisors is an integer number (266837261600).

Almost surely, 2^{53522167722100} is an apocalyptic number.

53522167722100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53522167722100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76849131340800).

53522167722100 is an abundant number, since it is smaller than the sum of its proper divisors (100176094959500).

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

53522167722100 is a wasteful number, since it uses less digits than its factorization.

53522167722100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5944 (or 5937 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 43.

The spelling of 53522167722100 in words is "fifty-three trillion, five hundred twenty-two billion, one hundred sixty-seven million, seven hundred twenty-two thousand, one hundred".