806155041600 has 1008 divisors, whose sum is σ = 3214468153728. Its totient is φ = 190554439680.

The previous prime is 806155041557. The next prime is 806155041647. The reversal of 806155041600 is 6140551608.

806155041600 is a `hidden beast` number, since 8 + 0 + 6 + 1 + 5 + 5 + 0 + 41 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 377235732 + ... + 377237868.

Almost surely, 2^806155041600 is an apocalyptic number.

806155041600 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 806155041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607234076864).

806155041600 is an abundant number, since it is smaller than the sum of its proper divisors (2408313112128).

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

806155041600 is a wasteful number, since it uses less digits than its factorization.

806155041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2272 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

It can be divided in two parts, 80615 and 5041600, that added together give a palindrome (5122215).

The spelling of 806155041600 in words is "eight hundred six billion, one hundred fifty-five million, forty-one thousand, six hundred".