16493208076800 has 5400 divisors, whose sum is σ = 82134572248476. Its totient is φ = 3246202552320.

The previous prime is 16493208076757. The next prime is 16493208076871. The reversal of 16493208076800 is 867080239461.

16493208076800 is a `hidden beast` number, since 1 + 6 + 493 + 2 + 0 + 8 + 0 + 76 + 80 + 0 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 7022669601024 + 9470538475776 = 2650032^2 + 3077424^2 .

It is a tau number, because it is divible by the number of its divisors (5400).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 145957593544 + ... + 145957593656.

Almost surely, 2^{16493208076800} is an apocalyptic number.

16493208076800 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 16493208076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41067286124238).

16493208076800 is an abundant number, since it is smaller than the sum of its proper divisors (65641364171676).

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

16493208076800 is a wasteful number, since it uses less digits than its factorization.

16493208076800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 16493208076800 in words is "sixteen trillion, four hundred ninety-three billion, two hundred eight million, seventy-six thousand, eight hundred".