13018678400 has 576 divisors, whose sum is σ = 42125428800. Its totient is φ = 3881779200.

The previous prime is 13018678369. The next prime is 13018678441. The reversal of 13018678400 is 487681031.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 71926310 + ... + 71926490.

It is an arithmetic number, because the mean of its divisors is an integer number (73134425).

Almost surely, 2^13018678400 is an apocalyptic number.

13018678400 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 13018678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21062714400).

13018678400 is an abundant number, since it is smaller than the sum of its proper divisors (29106750400).

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

13018678400 is a wasteful number, since it uses less digits than its factorization.

13018678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The spelling of 13018678400 in words is "thirteen billion, eighteen million, six hundred seventy-eight thousand, four hundred".