13552131505500 has 768 divisors, whose sum is σ = 52481666764800. Its totient is φ = 2990766240000.

The previous prime is 13552131505481. The next prime is 13552131505511. The reversal of 13552131505500 is 550513125531.

13552131505500 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 21 + 31 + 50 + 550 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 221949975 + ... + 222011025.

It is an arithmetic number, because the mean of its divisors is an integer number (68335503600).

Almost surely, 2^{13552131505500} is an apocalyptic number.

13552131505500 is a gapful number since it is divisible by the number (10) 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 13552131505500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26240833382400).

13552131505500 is an abundant number, since it is smaller than the sum of its proper divisors (38929535259300).

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

13552131505500 is an equidigital number, since it uses as much as digits as its factorization.

13552131505500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61127 (or 61097 counting only the distinct ones).

The product of its (nonzero) digits is 56250, while the sum is 36.

The spelling of 13552131505500 in words is "thirteen trillion, five hundred fifty-two billion, one hundred thirty-one million, five hundred five thousand, five hundred".