16379294068800 has 1008 divisors, whose sum is σ = 68523671204352. Its totient is φ = 3672229478400.

The previous prime is 16379294068771. The next prime is 16379294068829. The reversal of 16379294068800 is 886049297361.

16379294068800 is a `hidden beast` number, since 1 + 63 + 7 + 92 + 9 + 406 + 8 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (16379294068771) and next prime (16379294068829).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 98571387 + ... + 98737413.

It is an arithmetic number, because the mean of its divisors is an integer number (67979832544).

Almost surely, 2^{16379294068800} is an apocalyptic number.

16379294068800 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 16379294068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34261835602176).

16379294068800 is an abundant number, since it is smaller than the sum of its proper divisors (52144377135552).

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

16379294068800 is a wasteful number, since it uses less digits than its factorization.

16379294068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166116 (or 166098 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 16379294068800 in words is "sixteen trillion, three hundred seventy-nine billion, two hundred ninety-four million, sixty-eight thousand, eight hundred".