16289910000 has 1500 divisors, whose sum is σ = 77199000912. Its totient is φ = 3234816000.

The previous prime is 16289909989. The next prime is 16289910001. The reversal of 16289910000 is 1998261.

It is a tau number, because it is divible by the number of its divisors (1500).

It is a super-2 number, since 2×16289910000² (a number of 21 digits) contains 22 as substring.

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 (16289910001) by changing a digit.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 958229992 + ... + 958230008.

Almost surely, 2^16289910000 is an apocalyptic number.

16289910000 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 16289910000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38599500456).

16289910000 is an abundant number, since it is smaller than the sum of its proper divisors (60909090912).

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

16289910000 is a wasteful number, since it uses less digits than its factorization.

16289910000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 16289910000 in words is "sixteen billion, two hundred eighty-nine million, nine hundred ten thousand".