36852225822720 has 1872 divisors, whose sum is σ = 167705511592320. Its totient is φ = 7392971980800.

The previous prime is 36852225822703. The next prime is 36852225822739. The reversal of 36852225822720 is 2722852225863.

36852225822720 is a `hidden beast` number, since 3 + 6 + 8 + 52 + 2 + 2 + 582 + 2 + 7 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2881099525 + ... + 2881112315.

It is an arithmetic number, because the mean of its divisors is an integer number (89586277560).

Almost surely, 2^{36852225822720} is an apocalyptic number.

36852225822720 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 36852225822720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83852755796160).

36852225822720 is an abundant number, since it is smaller than the sum of its proper divisors (130853285769600).

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

36852225822720 is a wasteful number, since it uses less digits than its factorization.

36852225822720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12880 (or 12848 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 36852225822720 in words is "thirty-six trillion, eight hundred fifty-two billion, two hundred twenty-five million, eight hundred twenty-two thousand, seven hundred twenty".