16435491072 has 288 divisors, whose sum is σ = 58733767680. Its totient is φ = 3940392960.

The previous prime is 16435491043. The next prime is 16435491073. The reversal of 16435491072 is 27019453461.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (16435491073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 758079 + ... + 779457.

Almost surely, 2^16435491072 is an apocalyptic number.

16435491072 is a gapful number since it is divisible by the number (12) 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 16435491072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29366883840).

16435491072 is an abundant number, since it is smaller than the sum of its proper divisors (42298276608).

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

16435491072 is a wasteful number, since it uses less digits than its factorization.

16435491072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21429 (or 21415 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 16435491072 in words is "sixteen billion, four hundred thirty-five million, four hundred ninety-one thousand, seventy-two".