36212520960 has 1296 divisors, whose sum is σ = 165386665080. Its totient is φ = 7524679680.

The previous prime is 36212520941. The next prime is 36212520961. The reversal of 36212520960 is 6902521263.

36212520960 is a `hidden beast` number, since 3 + 62 + 12 + 520 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×36212520960² (a number of 22 digits) contains 22 as substring.

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 (36212520961) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3292047355 + ... + 3292047365.

Almost surely, 2^36212520960 is an apocalyptic number.

36212520960 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 36212520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82693332540).

36212520960 is an abundant number, since it is smaller than the sum of its proper divisors (129174144120).

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

36212520960 is an frugal number, since it uses more digits than its factorization.

36212520960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 36212520960 in words is "thirty-six billion, two hundred twelve million, five hundred twenty thousand, nine hundred sixty".