16091029468800 has 1920 divisors, whose sum is σ = 71085370245120. Its totient is φ = 3532419072000.

The previous prime is 16091029468693. The next prime is 16091029468807. The reversal of 16091029468800 is 886492019061.

16091029468800 is a `hidden beast` number, since 1 + 609 + 1 + 0 + 29 + 4 + 6 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (16091029468807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1964472705 + ... + 1964480895.

It is an arithmetic number, because the mean of its divisors is an integer number (37023630336).

Almost surely, 2^{16091029468800} is an apocalyptic number.

16091029468800 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 16091029468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35542685122560).

16091029468800 is an abundant number, since it is smaller than the sum of its proper divisors (54994340776320).

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

16091029468800 is a wasteful number, since it uses less digits than its factorization.

16091029468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8304 (or 8278 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 16091029468800 in words is "sixteen trillion, ninety-one billion, twenty-nine million, four hundred sixty-eight thousand, eight hundred".