16601378976 has 576 divisors, whose sum is σ = 62411731200. Its totient is φ = 4222181376.

The previous prime is 16601378939. The next prime is 16601378977. The reversal of 16601378976 is 67987310661.

It is a happy number.

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 (16601378977) 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, 20520460 + ... + 20521268.

It is an arithmetic number, because the mean of its divisors is an integer number (108353700).

Almost surely, 2^16601378976 is an apocalyptic number.

16601378976 is a gapful number since it is divisible by the number (16) 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 16601378976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31205865600).

16601378976 is an abundant number, since it is smaller than the sum of its proper divisors (45810352224).

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

16601378976 is a wasteful number, since it uses less digits than its factorization.

16601378976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 16601378976 in words is "sixteen billion, six hundred one million, three hundred seventy-eight thousand, nine hundred seventy-six".