36211685040 has 960 divisors, whose sum is σ = 144290764800. Its totient is φ = 8384643072.

The previous prime is 36211685033. The next prime is 36211685101. The reversal of 36211685040 is 4058611263.

It is a happy number.

36211685040 is a `hidden beast` number, since 36 + 2 + 116 + 8 + 504 + 0 = 666.

It is a super-2 number, since 2×36211685040² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 36211684986 and 36211685004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 458375721 + ... + 458375799.

It is an arithmetic number, because the mean of its divisors is an integer number (150302880).

Almost surely, 2^36211685040 is an apocalyptic number.

36211685040 is a gapful number since it is divisible by the number (30) 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 36211685040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72145382400).

36211685040 is an abundant number, since it is smaller than the sum of its proper divisors (108079079760).

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

36211685040 is a wasteful number, since it uses less digits than its factorization.

36211685040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 36211685040 in words is "thirty-six billion, two hundred eleven million, six hundred eighty-five thousand, forty".