816522292249920 has 336 divisors, whose sum is σ = 2876647711272192. Its totient is φ = 212465594880000.

The previous prime is 816522292249871. The next prime is 816522292249931. The reversal of 816522292249920 is 29942292225618.

It is a happy number.

816522292249920 is a `hidden beast` number, since 8 + 1 + 6 + 52 + 2 + 2 + 92 + 2 + 499 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122195545 + ... + 128704295.

Almost surely, 2^{816522292249920} is an apocalyptic number.

816522292249920 is a gapful number since it is divisible by the number (80) 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 816522292249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438323855636096).

816522292249920 is an abundant number, since it is smaller than the sum of its proper divisors (2060125419022272).

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

816522292249920 is a wasteful number, since it uses less digits than its factorization.

816522292249920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6509830 (or 6509817 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 816522292249920 in words is "eight hundred sixteen trillion, five hundred twenty-two billion, two hundred ninety-two million, two hundred forty-nine thousand, nine hundred twenty".