36065255850 has 288 divisors, whose sum is σ = 109271006208. Its totient is φ = 8467200000.

The previous prime is 36065255803. The next prime is 36065255861. The reversal of 36065255850 is 5855256063.

36065255850 is a `hidden beast` number, since 3 + 6 + 0 + 65 + 2 + 5 + 585 + 0 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 36065255796 and 36065255805.

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, 12874450 + ... + 12877250.

It is an arithmetic number, because the mean of its divisors is an integer number (379413216).

Almost surely, 2^36065255850 is an apocalyptic number.

36065255850 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36065255850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54635503104).

36065255850 is an abundant number, since it is smaller than the sum of its proper divisors (73205750358).

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

36065255850 is a wasteful number, since it uses less digits than its factorization.

36065255850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2934 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 36065255850 in words is "thirty-six billion, sixty-five million, two hundred fifty-five thousand, eight hundred fifty".