13923138700800 has 1440 divisors, whose sum is σ = 58542329926080. Its totient is φ = 3093744844800.

The previous prime is 13923138700781. The next prime is 13923138700829. The reversal of 13923138700800 is 800783132931.

It is a happy number.

13923138700800 is a `hidden beast` number, since 1 + 39 + 231 + 387 + 0 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12332274636 + ... + 12332275764.

It is an arithmetic number, because the mean of its divisors is an integer number (40654395782).

Almost surely, 2^{13923138700800} is an apocalyptic number.

13923138700800 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 13923138700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29271164963040).

13923138700800 is an abundant number, since it is smaller than the sum of its proper divisors (44619191225280).

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

13923138700800 is a wasteful number, since it uses less digits than its factorization.

13923138700800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 13923138700800 in words is "thirteen trillion, nine hundred twenty-three billion, one hundred thirty-eight million, seven hundred thousand, eight hundred".