16026940800 has 768 divisors, whose sum is σ = 66579072000. Its totient is φ = 3732480000.

The previous prime is 16026940771. The next prime is 16026940807. The reversal of 16026940800 is 804962061.

16026940800 is a `hidden beast` number, since 1 + 602 + 6 + 9 + 40 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16026940807) 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, 21340425 + ... + 21341175.

It is an arithmetic number, because the mean of its divisors is an integer number (86691500).

Almost surely, 2^16026940800 is an apocalyptic number.

16026940800 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 16026940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33289536000).

16026940800 is an abundant number, since it is smaller than the sum of its proper divisors (50552131200).

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

16026940800 is a wasteful number, since it uses less digits than its factorization.

16026940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 16026940800 in words is "sixteen billion, twenty-six million, nine hundred forty thousand, eight hundred".