13194735840 has 1152 divisors, whose sum is σ = 57375682560. Its totient is φ = 2803507200.

The previous prime is 13194735817. The next prime is 13194735857. The reversal of 13194735840 is 4853749131.

13194735840 is a `hidden beast` number, since 13 + 19 + 47 + 3 + 584 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 248957254 + ... + 248957306.

It is an arithmetic number, because the mean of its divisors is an integer number (49805280).

Almost surely, 2^13194735840 is an apocalyptic number.

13194735840 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 13194735840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28687841280).

13194735840 is an abundant number, since it is smaller than the sum of its proper divisors (44180946720).

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

13194735840 is a wasteful number, since it uses less digits than its factorization.

13194735840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 13194735840 in words is "thirteen billion, one hundred ninety-four million, seven hundred thirty-five thousand, eight hundred forty".