13901378700 has 144 divisors (see below), whose sum is σ = 43920938880. Its totient is φ = 3366720000.

The previous prime is 13901378681. The next prime is 13901378707. The reversal of 13901378700 is 787310931.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (13901378707) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5942131 + ... + 5944469.

It is an arithmetic number, because the mean of its divisors is an integer number (305006520).

Almost surely, 2^13901378700 is an apocalyptic number.

13901378700 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 13901378700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21960469440).

13901378700 is an abundant number, since it is smaller than the sum of its proper divisors (30019560180).

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

13901378700 is a wasteful number, since it uses less digits than its factorization.

13901378700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4168 (or 4161 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The spelling of 13901378700 in words is "thirteen billion, nine hundred one million, three hundred seventy-eight thousand, seven hundred".