36258564096 has 144 divisors (see below), whose sum is σ = 105228985680. Its totient is φ = 12027617280.

The previous prime is 36258564079. The next prime is 36258564119. The reversal of 36258564096 is 69046585263.

36258564096 is a `hidden beast` number, since 3 + 625 + 8 + 5 + 6 + 4 + 0 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3884491 + ... + 3893813.

It is an arithmetic number, because the mean of its divisors is an integer number (730756845).

Almost surely, 2^36258564096 is an apocalyptic number.

36258564096 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 36258564096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52614492840).

36258564096 is an abundant number, since it is smaller than the sum of its proper divisors (68970421584).

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

36258564096 is a wasteful number, since it uses less digits than its factorization.

36258564096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9562 (or 9539 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 36258564096 in words is "thirty-six billion, two hundred fifty-eight million, five hundred sixty-four thousand, ninety-six".