816108241920 has 704 divisors, whose sum is σ = 2878671273984. Its totient is φ = 196653219840.

The previous prime is 816108241919. The next prime is 816108241933. The reversal of 816108241920 is 29142801618.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 470921374 + ... + 470923106.

It is an arithmetic number, because the mean of its divisors is an integer number (4089021696).

Almost surely, 2^816108241920 is an apocalyptic number.

816108241920 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 816108241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439335636992).

816108241920 is an abundant number, since it is smaller than the sum of its proper divisors (2062563032064).

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

816108241920 is a wasteful number, since it uses less digits than its factorization.

816108241920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1858 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The spelling of 816108241920 in words is "eight hundred sixteen billion, one hundred eight million, two hundred forty-one thousand, nine hundred twenty".