16180079510400 has 768 divisors, whose sum is σ = 58318719863040. Its totient is φ = 3918787706880.

The previous prime is 16180079510381. The next prime is 16180079510407. The reversal of 16180079510400 is 401597008161.

16180079510400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16180079510407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4254554899 + ... + 4254558701.

It is an arithmetic number, because the mean of its divisors is an integer number (75935833155).

Almost surely, 2^{16180079510400} is an apocalyptic number.

16180079510400 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 16180079510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29159359931520).

16180079510400 is an abundant number, since it is smaller than the sum of its proper divisors (42138640352640).

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

16180079510400 is a wasteful number, since it uses less digits than its factorization.

16180079510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4383 (or 4366 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 42.

The spelling of 16180079510400 in words is "sixteen trillion, one hundred eighty billion, seventy-nine million, five hundred ten thousand, four hundred".