16133292806400 has 4860 divisors, whose sum is σ = 79339069669860. Its totient is φ = 3218890752000.

The previous prime is 16133292806359. The next prime is 16133292806503. The reversal of 16133292806400 is 460829233161.

16133292806400 is a `hidden beast` number, since 1 + 6 + 1 + 3 + 329 + 280 + 6 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3306694938624 + 12826597867776 = 1818432^2 + 3581424^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 89134214310 + ... + 89134214490.

Almost surely, 2^{16133292806400} is an apocalyptic number.

16133292806400 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 16133292806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39669534834930).

16133292806400 is an abundant number, since it is smaller than the sum of its proper divisors (63205776863460).

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

16133292806400 is a wasteful number, since it uses less digits than its factorization.

16133292806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 16133292806400 in words is "sixteen trillion, one hundred thirty-three billion, two hundred ninety-two million, eight hundred six thousand, four hundred".