36500025600 has 540 divisors, whose sum is σ = 136051695780. Its totient is φ = 9654681600.

The previous prime is 36500025599. The next prime is 36500025613. The reversal of 36500025600 is 652000563.

36500025600 is a `hidden beast` number, since 3 + 6 + 50 + 0 + 0 + 2 + 5 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 12358324224 + 24141701376 = 111168^2 + 155376^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 93830206 + ... + 93830594.

Almost surely, 2^36500025600 is an apocalyptic number.

36500025600 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 36500025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68025847890).

36500025600 is an abundant number, since it is smaller than the sum of its proper divisors (99551670180).

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

36500025600 is a wasteful number, since it uses less digits than its factorization.

36500025600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 36500025600 in words is "thirty-six billion, five hundred million, twenty-five thousand, six hundred".