13139575680 has 1024 divisors, whose sum is σ = 55950704640. Its totient is φ = 2543616000.

The previous prime is 13139575643. The next prime is 13139575733. The reversal of 13139575680 is 8657593131.

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

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 127 ways as a sum of consecutive naturals, for example, 215402850 + ... + 215402910.

It is an arithmetic number, because the mean of its divisors is an integer number (54639360).

Almost surely, 2^13139575680 is an apocalyptic number.

13139575680 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 13139575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27975352320).

13139575680 is an abundant number, since it is smaller than the sum of its proper divisors (42811128960).

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

13139575680 is a wasteful number, since it uses less digits than its factorization.

13139575680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 48.

The spelling of 13139575680 in words is "thirteen billion, one hundred thirty-nine million, five hundred seventy-five thousand, six hundred eighty".