11536577740800 has 2160 divisors, whose sum is σ = 49810063535232. Its totient is φ = 2497078886400.

The previous prime is 11536577740769. The next prime is 11536577740841. The reversal of 11536577740800 is 804777563511.

11536577740800 is a `hidden beast` number, since 11 + 53 + 6 + 577 + 7 + 4 + 0 + 8 + 0 + 0 = 666.

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, 41055436660 + ... + 41055436940.

Almost surely, 2^{11536577740800} is an apocalyptic number.

11536577740800 is a gapful number since it is divisible by the number (10) 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 11536577740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24905031767616).

11536577740800 is an abundant number, since it is smaller than the sum of its proper divisors (38273485794432).

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

11536577740800 is a wasteful number, since it uses less digits than its factorization.

11536577740800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The spelling of 11536577740800 in words is "eleven trillion, five hundred thirty-six billion, five hundred seventy-seven million, seven hundred forty thousand, eight hundred".