13791837990 has 128 divisors (see below), whose sum is σ = 41551626240. Its totient is φ = 2856636288.

The previous prime is 13791837973. The next prime is 13791837991. The reversal of 13791837990 is 9973819731.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 13791837990.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13791837991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16627 + ... + 166913.

It is an arithmetic number, because the mean of its divisors is an integer number (324622080).

Almost surely, 2^13791837990 is an apocalyptic number.

13791837990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13791837990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20775813120).

13791837990 is an abundant number, since it is smaller than the sum of its proper divisors (27759788250).

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

13791837990 is a wasteful number, since it uses less digits than its factorization.

13791837990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150346.

The product of its (nonzero) digits is 2571912, while the sum is 57.

The spelling of 13791837990 in words is "thirteen billion, seven hundred ninety-one million, eight hundred thirty-seven thousand, nine hundred ninety".