16516342400 has 48 divisors (see below), whose sum is σ = 40800534990. Its totient is φ = 6606535680.

The previous prime is 16516342397. The next prime is 16516342489. The reversal of 16516342400 is 424361561.

It can be written as a sum of positive squares in 3 ways, for example, as 15914327104 + 602015296 = 126152^2 + 24536^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2577479 + ... + 2583878.

Almost surely, 2^16516342400 is an apocalyptic number.

16516342400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16516342400 is an abundant number, since it is smaller than the sum of its proper divisors (24284192590).

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

16516342400 is an equidigital number, since it uses as much as digits as its factorization.

16516342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5161381 (or 5161364 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 16516342400 in words is "sixteen billion, five hundred sixteen million, three hundred forty-two thousand, four hundred".