13780990080 has 960 divisors, whose sum is σ = 58601050200. Its totient is φ = 3083857920.

The previous prime is 13780990061. The next prime is 13780990087. The reversal of 13780990080 is 8009908731.

It can be written as a sum of positive squares in 4 ways, for example, as 226442304 + 13554547776 = 15048^2 + 116424^2 .

It is a tau number, because it is divible by the number of its divisors (960).

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

It is not an unprimeable number, because it can be changed into a prime (13780990087) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1060076154 + ... + 1060076166.

Almost surely, 2^13780990080 is an apocalyptic number.

13780990080 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 13780990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29300525100).

13780990080 is an abundant number, since it is smaller than the sum of its proper divisors (44820060120).

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

13780990080 is an equidigital number, since it uses as much as digits as its factorization.

13780990080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 13780990080 in words is "thirteen billion, seven hundred eighty million, nine hundred ninety thousand, eighty".