16398280800 has 432 divisors, whose sum is σ = 65125831680. Its totient is φ = 3846528000.

The previous prime is 16398280799. The next prime is 16398280807. The reversal of 16398280800 is 808289361.

16398280800 is a `hidden beast` number, since 1 + 639 + 8 + 2 + 8 + 0 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×16398280800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16398280807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2451861 + ... + 2458539.

It is an arithmetic number, because the mean of its divisors is an integer number (150754240).

Almost surely, 2^16398280800 is an apocalyptic number.

16398280800 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 16398280800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32562915840).

16398280800 is an abundant number, since it is smaller than the sum of its proper divisors (48727550880).

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

16398280800 is a wasteful number, since it uses less digits than its factorization.

16398280800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6747 (or 6731 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 16398280800 in words is "sixteen billion, three hundred ninety-eight million, two hundred eighty thousand, eight hundred".