11536282027080 has 96 divisors (see below), whose sum is σ = 38785775815800. Its totient is φ = 2970261116928.

The previous prime is 11536282027007. The next prime is 11536282027087. The reversal of 11536282027080 is 8072028263511.

11536282027080 is a `hidden beast` number, since 1 + 1 + 5 + 362 + 8 + 202 + 7 + 0 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8845901330436 + 2690380696644 = 2974206^2 + 1640238^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11536282027087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 552493489 + ... + 552514368.

Almost surely, 2^{11536282027080} is an apocalyptic number.

11536282027080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11536282027080 is an abundant number, since it is smaller than the sum of its proper divisors (27249493788720).

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

11536282027080 is a wasteful number, since it uses less digits than its factorization.

11536282027080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105007903 (or 1105007896 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 11536282027080 in words is "eleven trillion, five hundred thirty-six billion, two hundred eighty-two million, twenty-seven thousand, eighty".