13499216640 has 864 divisors, whose sum is σ = 58568939520. Its totient is φ = 2794881024.

The previous prime is 13499216629. The next prime is 13499216681. The reversal of 13499216640 is 4661299431.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82817199 + ... + 82817361.

Almost surely, 2^13499216640 is an apocalyptic number.

13499216640 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 13499216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29284469760).

13499216640 is an abundant number, since it is smaller than the sum of its proper divisors (45069722880).

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

13499216640 is a wasteful number, since it uses less digits than its factorization.

13499216640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 13499216640 in words is "thirteen billion, four hundred ninety-nine million, two hundred sixteen thousand, six hundred forty".