13893158880 has 240 divisors, whose sum is σ = 51916289040. Its totient is φ = 3486855168.

The previous prime is 13893158879. The next prime is 13893158893. The reversal of 13893158880 is 8885139831.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 188791 + ... + 251849.

It is an arithmetic number, because the mean of its divisors is an integer number (216317871).

Almost surely, 2^13893158880 is an apocalyptic number.

13893158880 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 13893158880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25958144520).

13893158880 is an abundant number, since it is smaller than the sum of its proper divisors (38023130160).

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

13893158880 is a wasteful number, since it uses less digits than its factorization.

13893158880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63103 (or 63086 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 13893158880 in words is "thirteen billion, eight hundred ninety-three million, one hundred fifty-eight thousand, eight hundred eighty".