36511566400 has 189 divisors, whose sum is σ = 95777765137. Its totient is φ = 13696614400.

The previous prime is 36511566373. The next prime is 36511566449. The reversal of 36511566400 is 466511563.

The square root of 36511566400 is 191080.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 6971582016 + 29539984384 = 83496^2 + 171872^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 36511566400.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 129934260 + ... + 129934540.

Almost surely, 2^36511566400 is an apocalyptic number.

36511566400 is the 191080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36511566400

36511566400 is an abundant number, since it is smaller than the sum of its proper divisors (59266198737).

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

36511566400 is an equidigital number, since it uses as much as digits as its factorization.

36511566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The spelling of 36511566400 in words is "thirty-six billion, five hundred eleven million, five hundred sixty-six thousand, four hundred".