13486106400 has 288 divisors, whose sum is σ = 47419339968. Its totient is φ = 3309465600.

The previous prime is 13486106393. The next prime is 13486106401. The reversal of 13486106400 is 460168431.

It is not an unprimeable number, because it can be changed into a prime (13486106401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17814822 + ... + 17815578.

It is an arithmetic number, because the mean of its divisors is an integer number (164650486).

Almost surely, 2^13486106400 is an apocalyptic number.

13486106400 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 13486106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23709669984).

13486106400 is an abundant number, since it is smaller than the sum of its proper divisors (33933233568).

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

13486106400 is a wasteful number, since it uses less digits than its factorization.

13486106400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 13486106400 in words is "thirteen billion, four hundred eighty-six million, one hundred six thousand, four hundred".