13875836020400 has 120 divisors (see below), whose sum is σ = 33988670679600. Its totient is φ = 5441926763520.

The previous prime is 13875836020381. The next prime is 13875836020451. The reversal of 13875836020400 is 402063857831.

13875836020400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31218926 + ... + 31660274.

It is an arithmetic number, because the mean of its divisors is an integer number (283238922330).

Almost surely, 2^{13875836020400} is an apocalyptic number.

13875836020400 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 13875836020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16994335339800).

13875836020400 is an abundant number, since it is smaller than the sum of its proper divisors (20112834659200).

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

13875836020400 is a wasteful number, since it uses less digits than its factorization.

13875836020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442903 (or 442892 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 47.

The spelling of 13875836020400 in words is "thirteen trillion, eight hundred seventy-five billion, eight hundred thirty-six million, twenty thousand, four hundred".