36025600000 has 288 divisors, whose sum is σ = 97186045320. Its totient is φ = 13271040000.

The previous prime is 36025599991. The next prime is 36025600019. The reversal of 36025600000 is 652063.

It can be written as a sum of positive squares in 12 ways, for example, as 30404199424 + 5621400576 = 174368^2 + 74976^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83199784 + ... + 83200216.

Almost surely, 2^36025600000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36025600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48593022660).

36025600000 is an abundant number, since it is smaller than the sum of its proper divisors (61160445320).

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

36025600000 is an frugal number, since it uses more digits than its factorization.

36025600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

It can be divided in two parts, 360 and 25600000, that multiplied together give a square (9216000000 = 96000²).

The spelling of 36025600000 in words is "thirty-six billion, twenty-five million, six hundred thousand".