53144664100 has 108 divisors (see below), whose sum is σ = 127146904612. Its totient is φ = 19266508800.

The previous prime is 53144664059. The next prime is 53144664109. The reversal of 53144664100 is 146644135.

53144664100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2075895844 + 51068768256 = 45562^2 + 225984^2 .

It is a super-3 number, since 3×53144664100³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53144664109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4071184 + ... + 4084216.

Almost surely, 2^53144664100 is an apocalyptic number.

53144664100 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 53144664100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63573452306).

53144664100 is an abundant number, since it is smaller than the sum of its proper divisors (74002240512).

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

53144664100 is a wasteful number, since it uses less digits than its factorization.

53144664100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13406 (or 13388 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 53144664100 in words is "fifty-three billion, one hundred forty-four million, six hundred sixty-four thousand, one hundred".