16802948977920 has 3456 divisors, whose sum is σ = 76772247552000. Its totient is φ = 3373397508096.

The previous prime is 16802948977879. The next prime is 16802948977933. The reversal of 16802948977920 is 2977984920861.

16802948977920 is a `hidden beast` number, since 168 + 0 + 294 + 8 + 97 + 7 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 63889539709 + ... + 63889539971.

It is an arithmetic number, because the mean of its divisors is an integer number (22214192000).

Almost surely, 2^{16802948977920} is an apocalyptic number.

16802948977920 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 16802948977920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38386123776000).

16802948977920 is an abundant number, since it is smaller than the sum of its proper divisors (59969298574080).

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

16802948977920 is a wasteful number, since it uses less digits than its factorization.

16802948977920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 16802948977920 in words is "sixteen trillion, eight hundred two billion, nine hundred forty-eight million, nine hundred seventy-seven thousand, nine hundred twenty".