36225251061660 has 288 divisors, whose sum is σ = 121179851520000. Its totient is φ = 8724240898560.

The previous prime is 36225251061619. The next prime is 36225251061667. The reversal of 36225251061660 is 6616015252263.

36225251061660 is a `hidden beast` number, since 3 + 6 + 2 + 2 + 5 + 25 + 1 + 0 + 616 + 6 + 0 = 666.

36225251061660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36225251061667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4553466 + ... + 9653214.

Almost surely, 2^{36225251061660} is an apocalyptic number.

36225251061660 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 36225251061660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60589925760000).

36225251061660 is an abundant number, since it is smaller than the sum of its proper divisors (84954600458340).

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

36225251061660 is a wasteful number, since it uses less digits than its factorization.

36225251061660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5099881 (or 5099876 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 36225251061660 in words is "thirty-six trillion, two hundred twenty-five billion, two hundred fifty-one million, sixty-one thousand, six hundred sixty".