816190826220 has 768 divisors, whose sum is σ = 3256049664000. Its totient is φ = 164816778240.

The previous prime is 816190826201. The next prime is 816190826251. The reversal of 816190826220 is 22628091618.

816190826220 is a `hidden beast` number, since 8 + 1 + 6 + 19 + 0 + 8 + 2 + 622 + 0 = 666.

816190826220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 291183339 + ... + 291186141.

It is an arithmetic number, because the mean of its divisors is an integer number (4239648000).

Almost surely, 2^816190826220 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 816190826220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628024832000).

816190826220 is an abundant number, since it is smaller than the sum of its proper divisors (2439858837780).

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

816190826220 is a wasteful number, since it uses less digits than its factorization.

816190826220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3035 (or 3027 counting only the distinct ones).

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

The spelling of 816190826220 in words is "eight hundred sixteen billion, one hundred ninety million, eight hundred twenty-six thousand, two hundred twenty".