13986680400 has 960 divisors, whose sum is σ = 63029299200. Its totient is φ = 2885414400.

The previous prime is 13986680381. The next prime is 13986680413. The reversal of 13986680400 is 408668931.

It is a super-2 number, since 2×13986680400² (a number of 21 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 100623531 + ... + 100623669.

It is an arithmetic number, because the mean of its divisors is an integer number (65655520).

Almost surely, 2^13986680400 is an apocalyptic number.

13986680400 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 13986680400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31514649600).

13986680400 is an abundant number, since it is smaller than the sum of its proper divisors (49042618800).

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

13986680400 is a wasteful number, since it uses less digits than its factorization.

13986680400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 13986680400 in words is "thirteen billion, nine hundred eighty-six million, six hundred eighty thousand, four hundred".