16906504500 has 144 divisors (see below), whose sum is σ = 53399730384. Its totient is φ = 4502880000.

The previous prime is 16906504487. The next prime is 16906504501. The reversal of 16906504500 is 540560961.

16906504500 is a `hidden beast` number, since 1 + 6 + 90 + 65 + 0 + 4 + 500 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4858368804 + 12048135696 = 69702^2 + 109764^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16906504501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4772730 + ... + 4776270.

It is an arithmetic number, because the mean of its divisors is an integer number (370831461).

Almost surely, 2^16906504500 is an apocalyptic number.

16906504500 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 16906504500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26699865192).

16906504500 is an abundant number, since it is smaller than the sum of its proper divisors (36493225884).

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

16906504500 is a wasteful number, since it uses less digits than its factorization.

16906504500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4627 (or 4612 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 16906504500 in words is "sixteen billion, nine hundred six million, five hundred four thousand, five hundred".