810855917383680 has 2080 divisors, whose sum is σ = 3578161262860800. Its totient is φ = 171498486104064.

The previous prime is 810855917383669. The next prime is 810855917383693. The reversal of 810855917383680 is 86383719558018.

810855917383680 is a `hidden beast` number, since 8 + 1 + 0 + 8 + 559 + 1 + 7 + 3 + 8 + 3 + 68 + 0 = 666.

It is a super-2 number, since 2×810855917383680² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 810855917383599 and 810855917383608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9487091986 + ... + 9487177454.

Almost surely, 2^{810855917383680} is an apocalyptic number.

810855917383680 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 810855917383680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789080631430400).

810855917383680 is an abundant number, since it is smaller than the sum of its proper divisors (2767305345477120).

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

810855917383680 is a wasteful number, since it uses less digits than its factorization.

810855917383680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85579 (or 85548 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 72.

The spelling of 810855917383680 in words is "eight hundred ten trillion, eight hundred fifty-five billion, nine hundred seventeen million, three hundred eighty-three thousand, six hundred eighty".