20892416832 has 784 divisors, whose sum is σ = 77716392192. Its totient is φ = 5434490880.

The previous prime is 20892416821. The next prime is 20892416851. The reversal of 20892416832 is 23861429802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 294259357 + ... + 294259427.

Almost surely, 2^20892416832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20892416832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38858196096).

20892416832 is an abundant number, since it is smaller than the sum of its proper divisors (56823975360).

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

20892416832 is an equidigital number, since it uses as much as digits as its factorization.

20892416832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 20892416832 in words is "twenty billion, eight hundred ninety-two million, four hundred sixteen thousand, eight hundred thirty-two".