36283803494400 has 2592 divisors, whose sum is σ = 165770309708640. Its totient is φ = 7499907072000.

The previous prime is 36283803494329. The next prime is 36283803494441. The reversal of 36283803494400 is 449430838263.

36283803494400 is a `hidden beast` number, since 3 + 6 + 2 + 83 + 80 + 3 + 49 + 440 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 86184806190 + ... + 86184806610.

It is an arithmetic number, because the mean of its divisors is an integer number (63954594795).

Almost surely, 2^{36283803494400} is an apocalyptic number.

36283803494400 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 36283803494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82885154854320).

36283803494400 is an abundant number, since it is smaller than the sum of its proper divisors (129486506214240).

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

36283803494400 is a wasteful number, since it uses less digits than its factorization.

36283803494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 36283803494400 in words is "thirty-six trillion, two hundred eighty-three billion, eight hundred three million, four hundred ninety-four thousand, four hundred".