13486125404160 has 1040 divisors, whose sum is σ = 51630381411840. Its totient is φ = 3359908823040.

The previous prime is 13486125404123. The next prime is 13486125404161. The reversal of 13486125404160 is 6140452168431.

13486125404160 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 6 + 1 + 2 + 540 + 41 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13486125404161) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1491328599 + ... + 1491337641.

Almost surely, 2^{13486125404160} is an apocalyptic number.

13486125404160 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 13486125404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25815190705920).

13486125404160 is an abundant number, since it is smaller than the sum of its proper divisors (38144256007680).

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

13486125404160 is an equidigital number, since it uses as much as digits as its factorization.

13486125404160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9144 (or 9113 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 13486125404160 in words is "thirteen trillion, four hundred eighty-six billion, one hundred twenty-five million, four hundred four thousand, one hundred sixty".