36000086999976 has 768 divisors, whose sum is σ = 116695987200000. Its totient is φ = 9910734704640.

The previous prime is 36000086999957. The next prime is 36000087000011. The reversal of 36000086999976 is 67999968000063.

36000086999976 is a `hidden beast` number, since 3 + 600 + 0 + 0 + 8 + 6 + 9 + 9 + 9 + 9 + 7 + 6 = 666.

36000086999976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18009047025 + ... + 18009049023.

It is an arithmetic number, because the mean of its divisors is an integer number (151947900000).

Almost surely, 2^{36000086999976} is an apocalyptic number.

36000086999976 is a gapful number since it is divisible by the number (36) 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 36000086999976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58347993600000).

36000086999976 is an abundant number, since it is smaller than the sum of its proper divisors (80695900200024).

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

36000086999976 is a wasteful number, since it uses less digits than its factorization.

36000086999976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2614 (or 2607 counting only the distinct ones).

The product of its (nonzero) digits is 238085568, while the sum is 72.

The spelling of 36000086999976 in words is "thirty-six trillion, eighty-six million, nine hundred ninety-nine thousand, nine hundred seventy-six".