36065088000 has 560 divisors, whose sum is σ = 135008575416. Its totient is φ = 9604915200.

The previous prime is 36065087999. The next prime is 36065088001. The reversal of 36065088000 is 88056063.

It is an interprime number because it is at equal distance from previous prime (36065087999) and next prime (36065088001).

It can be written as a sum of positive squares in 4 ways, for example, as 3301191936 + 32763896064 = 57456^2 + 181008^2 .

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

It is not an unprimeable number, because it can be changed into a prime (36065088001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 46655614 + ... + 46656386.

Almost surely, 2^36065088000 is an apocalyptic number.

36065088000 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 36065088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67504287708).

36065088000 is an abundant number, since it is smaller than the sum of its proper divisors (98943487416).

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

36065088000 is an frugal number, since it uses more digits than its factorization.

36065088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 783 counting only the distinct ones).

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

The spelling of 36065088000 in words is "thirty-six billion, sixty-five million, eighty-eight thousand".