11530542812400 has 300 divisors, whose sum is σ = 41387849817600. Its totient is φ = 3074391106560.

The previous prime is 11530542812377. The next prime is 11530542812431. The reversal of 11530542812400 is 421824503511.

11530542812400 is a `hidden beast` number, since 1 + 1 + 5 + 30 + 542 + 81 + 2 + 4 + 0 + 0 = 666.

11530542812400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 290575761 + ... + 290615439.

It is an arithmetic number, because the mean of its divisors is an integer number (137959499392).

Almost surely, 2^{11530542812400} is an apocalyptic number.

11530542812400 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 11530542812400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20693924908800).

11530542812400 is an abundant number, since it is smaller than the sum of its proper divisors (29857307005200).

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

11530542812400 is a wasteful number, since it uses less digits than its factorization.

11530542812400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48678 (or 48658 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 11530542812400 in words is "eleven trillion, five hundred thirty billion, five hundred forty-two million, eight hundred twelve thousand, four hundred".