13187947500 has 960 divisors, whose sum is σ = 55842124800. Its totient is φ = 2612736000.

The previous prime is 13187947471. The next prime is 13187947501. The reversal of 13187947500 is 574978131.

13187947500 is a `hidden beast` number, since 1 + 31 + 8 + 79 + 47 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13187947501) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 116707444 + ... + 116707556.

It is an arithmetic number, because the mean of its divisors is an integer number (58168880).

Almost surely, 2^13187947500 is an apocalyptic number.

13187947500 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 13187947500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27921062400).

13187947500 is an abundant number, since it is smaller than the sum of its proper divisors (42654177300).

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

13187947500 is a wasteful number, since it uses less digits than its factorization.

13187947500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 13187947500 in words is "thirteen billion, one hundred eighty-seven million, nine hundred forty-seven thousand, five hundred".