13692790080 has 336 divisors, whose sum is σ = 50229363600. Its totient is φ = 3411738624.

The previous prime is 13692790057. The next prime is 13692790093. The reversal of 13692790080 is 8009729631.

It can be written as a sum of positive squares in 8 ways, for example, as 82301184 + 13610488896 = 9072^2 + 116664^2 .

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7294102 + ... + 7295978.

Almost surely, 2^13692790080 is an apocalyptic number.

13692790080 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 13692790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25114681800).

13692790080 is an abundant number, since it is smaller than the sum of its proper divisors (36536573520).

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

13692790080 is a wasteful number, since it uses less digits than its factorization.

13692790080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2066 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 13692790080 in words is "thirteen billion, six hundred ninety-two million, seven hundred ninety thousand, eighty".