16490742900 has 144 divisors (see below), whose sum is σ = 51011985024. Its totient is φ = 4098539520.

The previous prime is 16490742887. The next prime is 16490742953. The reversal of 16490742900 is 924709461.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 509604 + ... + 540996.

It is an arithmetic number, because the mean of its divisors is an integer number (354249896).

Almost surely, 2^16490742900 is an apocalyptic number.

16490742900 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 16490742900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25505992512).

16490742900 is an abundant number, since it is smaller than the sum of its proper divisors (34521242124).

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

16490742900 is a wasteful number, since it uses less digits than its factorization.

16490742900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31530 (or 31523 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 16490742900 in words is "sixteen billion, four hundred ninety million, seven hundred forty-two thousand, nine hundred".