16407599796000 has 1152 divisors, whose sum is σ = 71543260938240. Its totient is φ = 3477282048000.

The previous prime is 16407599795947. The next prime is 16407599796067. The reversal of 16407599796000 is 69799570461.

16407599796000 is a `hidden beast` number, since 1 + 6 + 407 + 59 + 97 + 96 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 224999545 + ... + 225072455.

It is an arithmetic number, because the mean of its divisors is an integer number (62103525120).

Almost surely, 2^{16407599796000} is an apocalyptic number.

16407599796000 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 16407599796000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35771630469120).

16407599796000 is an abundant number, since it is smaller than the sum of its proper divisors (55135661142240).

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

16407599796000 is a wasteful number, since it uses less digits than its factorization.

16407599796000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73015 (or 72994 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 63.

The spelling of 16407599796000 in words is "sixteen trillion, four hundred seven billion, five hundred ninety-nine million, seven hundred ninety-six thousand".