36052258101552 has 2240 divisors, whose sum is σ = 140494596341760. Its totient is φ = 8685966182400.

The previous prime is 36052258101539. The next prime is 36052258101553. The reversal of 36052258101552 is 25510185225063.

36052258101552 is a `hidden beast` number, since 3 + 6 + 0 + 5 + 2 + 2 + 581 + 0 + 15 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 36052258101498 and 36052258101507.

It is not an unprimeable number, because it can be changed into a prime (36052258101553) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 81382072243 + ... + 81382072685.

Almost surely, 2^{36052258101552} 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 36052258101552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70247298170880).

36052258101552 is an abundant number, since it is smaller than the sum of its proper divisors (104442338240208).

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

36052258101552 is a wasteful number, since it uses less digits than its factorization.

36052258101552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The spelling of 36052258101552 in words is "thirty-six trillion, fifty-two billion, two hundred fifty-eight million, one hundred one thousand, five hundred fifty-two".