5535032138100 has 90 divisors (see below), whose sum is σ = 17942387538614. Its totient is φ = 1476008568000.

The previous prime is 5535032138093. The next prime is 5535032138101. The reversal of 5535032138100 is 18312305355.

5535032138100 is a `hidden beast` number, since 5 + 5 + 3 + 503 + 2 + 138 + 10 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 124188579216 + 5410843558884 = 352404^2 + 2326122^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×5535032138100² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5535032138101) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 341660551 + ... + 341676750.

Almost surely, 2^{5535032138100} is an apocalyptic number.

5535032138100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5535032138100 is an abundant number, since it is smaller than the sum of its proper divisors (12407355400514).

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

5535032138100 is a wasteful number, since it uses less digits than its factorization.

5535032138100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683337327 (or 683337311 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 5535032138100 in words is "five trillion, five hundred thirty-five billion, thirty-two million, one hundred thirty-eight thousand, one hundred".