16557938974080 has 4608 divisors, whose sum is σ = 79635104640000. Its totient is φ = 3265710981120.

The previous prime is 16557938974039. The next prime is 16557938974103. The reversal of 16557938974080 is 8047983975561.

16557938974080 is a `hidden beast` number, since 1 + 6 + 5 + 57 + 93 + 89 + 7 + 408 + 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 polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 534127063665 + ... + 534127063695.

It is an arithmetic number, because the mean of its divisors is an integer number (17281923750).

Almost surely, 2^{16557938974080} is an apocalyptic number.

16557938974080 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 16557938974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39817552320000).

16557938974080 is an abundant number, since it is smaller than the sum of its proper divisors (63077165665920).

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

16557938974080 is an equidigital number, since it uses as much as digits as its factorization.

16557938974080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 457228800, while the sum is 72.

The spelling of 16557938974080 in words is "sixteen trillion, five hundred fifty-seven billion, nine hundred thirty-eight million, nine hundred seventy-four thousand, eighty".