36855005616 has 320 divisors, whose sum is σ = 127321850880. Its totient is φ = 10056960000.

The previous prime is 36855005611. The next prime is 36855005623. The reversal of 36855005616 is 61650055863.

36855005616 is a `hidden beast` number, since 3 + 6 + 85 + 5 + 0 + 0 + 561 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (36855005611) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2525541 + ... + 2540091.

It is an arithmetic number, because the mean of its divisors is an integer number (397880784).

Almost surely, 2^36855005616 is an apocalyptic number.

36855005616 is a gapful number since it is divisible by the number (36) 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 36855005616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63660925440).

36855005616 is an abundant number, since it is smaller than the sum of its proper divisors (90466845264).

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

36855005616 is a wasteful number, since it uses less digits than its factorization.

36855005616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14633 (or 14621 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 36855005616 in words is "thirty-six billion, eight hundred fifty-five million, five thousand, six hundred sixteen".