36288783820800 has 4320 divisors, whose sum is σ = 171244499025600. Its totient is φ = 7413521448960.

The previous prime is 36288783820769. The next prime is 36288783820813. The reversal of 36288783820800 is 802838788263.

36288783820800 is a `hidden beast` number, since 36 + 2 + 88 + 78 + 382 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 261070387131 + ... + 261070387269.

It is an arithmetic number, because the mean of its divisors is an integer number (39639930330).

Almost surely, 2^{36288783820800} is an apocalyptic number.

36288783820800 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 36288783820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85622249512800).

36288783820800 is an abundant number, since it is smaller than the sum of its proper divisors (134955715204800).

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

36288783820800 is a wasteful number, since it uses less digits than its factorization.

36288783820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 36288783820800 in words is "thirty-six trillion, two hundred eighty-eight billion, seven hundred eighty-three million, eight hundred twenty thousand, eight hundred".