16210720400 has 120 divisors (see below), whose sum is σ = 44696555904. Its totient is φ = 5534668800.

The previous prime is 16210720387. The next prime is 16210720403. The reversal of 16210720400 is 402701261.

It is a super-3 number, since 3×16210720400³ (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (16210720403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 662789 + ... + 686811.

Almost surely, 2^16210720400 is an apocalyptic number.

16210720400 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 16210720400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22348277952).

16210720400 is an abundant number, since it is smaller than the sum of its proper divisors (28485835504).

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

16210720400 is a wasteful number, since it uses less digits than its factorization.

16210720400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24289 (or 24278 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The spelling of 16210720400 in words is "sixteen billion, two hundred ten million, seven hundred twenty thousand, four hundred".