13487866704900 has 432 divisors, whose sum is σ = 50669083221120. Its totient is φ = 3048297753600.

The previous prime is 13487866704883. The next prime is 13487866704901. The reversal of 13487866704900 is 940766878431.

13487866704900 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 7 + 86 + 67 + 0 + 490 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (13487866704901) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14693430 + ... + 15584370.

Almost surely, 2^{13487866704900} is an apocalyptic number.

13487866704900 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 13487866704900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25334541610560).

13487866704900 is an abundant number, since it is smaller than the sum of its proper divisors (37181216516220).

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

13487866704900 is a wasteful number, since it uses less digits than its factorization.

13487866704900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891066 (or 891047 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 13487866704900 in words is "thirteen trillion, four hundred eighty-seven billion, eight hundred sixty-six million, seven hundred four thousand, nine hundred".