16975177828812 has 432 divisors, whose sum is σ = 53551981435680. Its totient is φ = 4684853376000.

The previous prime is 16975177828793. The next prime is 16975177828823. The reversal of 16975177828812 is 21882877157961.

16975177828812 is a `hidden beast` number, since 1 + 6 + 9 + 7 + 517 + 7 + 8 + 28 + 81 + 2 = 666.

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, 197184514 + ... + 197270582.

It is an arithmetic number, because the mean of its divisors is an integer number (123962919990).

Almost surely, 2^{16975177828812} is an apocalyptic number.

16975177828812 is a gapful number since it is divisible by the number (12) 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 16975177828812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26775990717840).

16975177828812 is an abundant number, since it is smaller than the sum of its proper divisors (36576803606868).

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

16975177828812 is a wasteful number, since it uses less digits than its factorization.

16975177828812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86244 (or 86223 counting only the distinct ones).

The product of its digits is 189665280, while the sum is 72.

The spelling of 16975177828812 in words is "sixteen trillion, nine hundred seventy-five billion, one hundred seventy-seven million, eight hundred twenty-eight thousand, eight hundred twelve".