13090788480 has 256 divisors, whose sum is σ = 52023720960. Its totient is φ = 2720133120.

The previous prime is 13090788379. The next prime is 13090788499. The reversal of 13090788480 is 8488709031.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103567 + ... + 192113.

It is an arithmetic number, because the mean of its divisors is an integer number (203217660).

Almost surely, 2^13090788480 is an apocalyptic number.

13090788480 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 13090788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26011860480).

13090788480 is an abundant number, since it is smaller than the sum of its proper divisors (38932932480).

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

13090788480 is a wasteful number, since it uses less digits than its factorization.

13090788480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88587 (or 88575 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 13090788480 in words is "thirteen billion, ninety million, seven hundred eighty-eight thousand, four hundred eighty".