36288895104 has 1024 divisors, whose sum is σ = 143354880000. Its totient is φ = 9015874560.

The previous prime is 36288895103. The next prime is 36288895117. The reversal of 36288895104 is 40159888263.

36288895104 is a `hidden beast` number, since 3 + 628 + 8 + 8 + 9 + 5 + 1 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36288895103) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1577778037 + ... + 1577778059.

It is an arithmetic number, because the mean of its divisors is an integer number (139995000).

Almost surely, 2^36288895104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36288895104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71677440000).

36288895104 is an abundant number, since it is smaller than the sum of its proper divisors (107065984896).

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

36288895104 is an equidigital number, since it uses as much as digits as its factorization.

36288895104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 36288895104 in words is "thirty-six billion, two hundred eighty-eight million, eight hundred ninety-five thousand, one hundred four".