36088113600 has 1344 divisors, whose sum is σ = 172950835200. Its totient is φ = 7091712000.

The previous prime is 36088113557. The next prime is 36088113601. The reversal of 36088113600 is 631188063.

36088113600 is a `hidden beast` number, since 3 + 608 + 8 + 11 + 36 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36088113601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 63201315 + ... + 63201885.

Almost surely, 2^36088113600 is an apocalyptic number.

36088113600 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 36088113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86475417600).

36088113600 is an abundant number, since it is smaller than the sum of its proper divisors (136862721600).

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

36088113600 is a wasteful number, since it uses less digits than its factorization.

36088113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 36088113600 in words is "thirty-six billion, eighty-eight million, one hundred thirteen thousand, six hundred".