806180195520 has 1120 divisors, whose sum is σ = 3377407942656. Its totient is φ = 178711142400.

The previous prime is 806180195461. The next prime is 806180195603. The reversal of 806180195520 is 25591081608.

It is a happy number.

806180195520 is a `hidden beast` number, since 8 + 0 + 6 + 1 + 80 + 19 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 159 ways as a sum of consecutive naturals, for example, 1490166450 + ... + 1490166990.

Almost surely, 2^806180195520 is an apocalyptic number.

806180195520 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 806180195520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688703971328).

806180195520 is an abundant number, since it is smaller than the sum of its proper divisors (2571227747136).

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

806180195520 is a wasteful number, since it uses less digits than its factorization.

806180195520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 806180195520 in words is "eight hundred six billion, one hundred eighty million, one hundred ninety-five thousand, five hundred twenty".