36266725152 has 432 divisors, whose sum is σ = 129405276000. Its totient is φ = 9574225920.

The previous prime is 36266725147. The next prime is 36266725169. The reversal of 36266725152 is 25152766263.

36266725152 is a `hidden beast` number, since 3 + 6 + 2 + 66 + 72 + 515 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 36266725098 and 36266725107.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10991599 + ... + 10994897.

It is an arithmetic number, because the mean of its divisors is an integer number (299549250).

Almost surely, 2^36266725152 is an apocalyptic number.

36266725152 is a gapful number since it is divisible by the number (32) 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 36266725152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64702638000).

36266725152 is an abundant number, since it is smaller than the sum of its proper divisors (93138550848).

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

36266725152 is a wasteful number, since it uses less digits than its factorization.

36266725152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3389 (or 3371 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The spelling of 36266725152 in words is "thirty-six billion, two hundred sixty-six million, seven hundred twenty-five thousand, one hundred fifty-two".