13392774720 has 672 divisors, whose sum is σ = 53188087680. Its totient is φ = 3065610240.

The previous prime is 13392774643. The next prime is 13392774761. The reversal of 13392774720 is 2747729331.

13392774720 is a `hidden beast` number, since 1 + 339 + 277 + 47 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47660980 + ... + 47661260.

It is an arithmetic number, because the mean of its divisors is an integer number (79148940).

Almost surely, 2^13392774720 is an apocalyptic number.

13392774720 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 13392774720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26594043840).

13392774720 is an abundant number, since it is smaller than the sum of its proper divisors (39795312960).

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

13392774720 is a wasteful number, since it uses less digits than its factorization.

13392774720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The spelling of 13392774720 in words is "thirteen billion, three hundred ninety-two million, seven hundred seventy-four thousand, seven hundred twenty".