36123652800 has 504 divisors, whose sum is σ = 138630903840. Its totient is φ = 8894054400.

The previous prime is 36123652787. The next prime is 36123652811. The reversal of 36123652800 is 825632163.

It is a happy number.

36123652800 is a `hidden beast` number, since 3 + 6 + 12 + 365 + 280 + 0 = 666.

It is a super-2 number, since 2×36123652800² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9602920 + ... + 9606680.

Almost surely, 2^36123652800 is an apocalyptic number.

36123652800 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 36123652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69315451920).

36123652800 is an abundant number, since it is smaller than the sum of its proper divisors (102507251040).

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

36123652800 is a wasteful number, since it uses less digits than its factorization.

36123652800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3841 (or 3823 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 36123652800 in words is "thirty-six billion, one hundred twenty-three million, six hundred fifty-two thousand, eight hundred".