13394937600 has 972 divisors, whose sum is σ = 56120861160. Its totient is φ = 3135283200.

The previous prime is 13394937587. The next prime is 13394937637. The reversal of 13394937600 is 673949331.

It is a happy number.

13394937600 is a `hidden beast` number, since 1 + 3 + 3 + 9 + 4 + 9 + 37 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (972).

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 107 ways as a sum of consecutive naturals, for example, 461894386 + ... + 461894414.

Almost surely, 2^13394937600 is an apocalyptic number.

13394937600 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 13394937600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28060430580).

13394937600 is an abundant number, since it is smaller than the sum of its proper divisors (42725923560).

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

13394937600 is an frugal number, since it uses more digits than its factorization.

13394937600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The spelling of 13394937600 in words is "thirteen billion, three hundred ninety-four million, nine hundred thirty-seven thousand, six hundred".