36528696852480 has 792 divisors, whose sum is σ = 150083337173952. Its totient is φ = 8349416423424.

The previous prime is 36528696852463. The next prime is 36528696852521. The reversal of 36528696852480 is 8425869682563.

It is a happy number.

It is a Jordan-Polya number, since it can be written as 9! ⋅ 4! ⋅ (2!)²².

36528696852480 is a `hidden beast` number, since 3 + 6 + 5 + 2 + 8 + 6 + 96 + 8 + 52 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 36528696852399 and 36528696852408.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5218385264637 + ... + 5218385264643.

Almost surely, 2^{36528696852480} is an apocalyptic number.

36528696852480 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 36528696852480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75041668586976).

36528696852480 is an abundant number, since it is smaller than the sum of its proper divisors (113554640321472).

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

36528696852480 is an frugal number, since it uses more digits than its factorization.

36528696852480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1194393600, while the sum is 72.

The spelling of 36528696852480 in words is "thirty-six trillion, five hundred twenty-eight billion, six hundred ninety-six million, eight hundred fifty-two thousand, four hundred eighty".