16010982400 has 264 divisors, whose sum is σ = 46346962176. Its totient is φ = 5369856000.

The previous prime is 16010982373. The next prime is 16010982401. The reversal of 16010982400 is 428901061.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16010982401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8421450 + ... + 8423350.

Almost surely, 2^16010982400 is an apocalyptic number.

16010982400 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 16010982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23173481088).

16010982400 is an abundant number, since it is smaller than the sum of its proper divisors (30335979776).

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

16010982400 is a wasteful number, since it uses less digits than its factorization.

16010982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1985 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The spelling of 16010982400 in words is "sixteen billion, ten million, nine hundred eighty-two thousand, four hundred".