13014078000 has 640 divisors, whose sum is σ = 55421024256. Its totient is φ = 2543616000.

The previous prime is 13014077981. The next prime is 13014078013. The reversal of 13014078000 is 87041031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7853172 + ... + 7854828.

Almost surely, 2^13014078000 is an apocalyptic number.

13014078000 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 13014078000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27710512128).

13014078000 is an abundant number, since it is smaller than the sum of its proper divisors (42406946256).

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

13014078000 is a wasteful number, since it uses less digits than its factorization.

13014078000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1718 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The spelling of 13014078000 in words is "thirteen billion, fourteen million, seventy-eight thousand".