16432564400 has 120 divisors (see below), whose sum is σ = 45288931680. Its totient is φ = 5612820480.

The previous prime is 16432564397. The next prime is 16432564439. The reversal of 16432564400 is 446523461.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 742292 + ... + 764108.

It is an arithmetic number, because the mean of its divisors is an integer number (377407764).

Almost surely, 2^16432564400 is an apocalyptic number.

16432564400 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 16432564400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22644465840).

16432564400 is an abundant number, since it is smaller than the sum of its proper divisors (28856367280).

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

16432564400 is a wasteful number, since it uses less digits than its factorization.

16432564400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22111 (or 22100 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The spelling of 16432564400 in words is "sixteen billion, four hundred thirty-two million, five hundred sixty-four thousand, four hundred".