16379166277400 has 96 divisors (see below), whose sum is σ = 38262748572000. Its totient is φ = 6520566405120.

The previous prime is 16379166277367. The next prime is 16379166277421. The reversal of 16379166277400 is 477266197361.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 16379166277400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36322112 + ... + 36770288.

It is an arithmetic number, because the mean of its divisors is an integer number (398570297625).

Almost surely, 2^{16379166277400} is an apocalyptic number.

16379166277400 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 16379166277400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19131374286000).

16379166277400 is an abundant number, since it is smaller than the sum of its proper divisors (21883582294600).

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

16379166277400 is a wasteful number, since it uses less digits than its factorization.

16379166277400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449061 (or 449052 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 59.

The spelling of 16379166277400 in words is "sixteen trillion, three hundred seventy-nine billion, one hundred sixty-six million, two hundred seventy-seven thousand, four hundred".