16405131600 has 540 divisors, whose sum is σ = 67413177468. Its totient is φ = 3669811200.

The previous prime is 16405131559. The next prime is 16405131619. The reversal of 16405131600 is 613150461.

16405131600 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 51 + 3 + 1 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4603351104 + 11801780496 = 67848^2 + 108636^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5661352 + ... + 5664248.

Almost surely, 2^16405131600 is an apocalyptic number.

16405131600 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 16405131600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33706588734).

16405131600 is an abundant number, since it is smaller than the sum of its proper divisors (51008045868).

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

16405131600 is a wasteful number, since it uses less digits than its factorization.

16405131600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2956 (or 2931 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 16405131600 in words is "sixteen billion, four hundred five million, one hundred thirty-one thousand, six hundred".