11534374725700 has 36 divisors (see below), whose sum is σ = 25030660599252. Its totient is φ = 4613553126400.

The previous prime is 11534374725689. The next prime is 11534374725707. The reversal of 11534374725700 is 752747343511.

11534374725700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 180062738244 + 11354311987456 = 424338^2 + 3369616^2 .

It is not an unprimeable number, because it can be changed into a prime (11534374725707) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91669 + ... + 4803868.

It is an arithmetic number, because the mean of its divisors is an integer number (695296127757).

Almost surely, 2^{11534374725700} is an apocalyptic number.

11534374725700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11534374725700 is an abundant number, since it is smaller than the sum of its proper divisors (13496285873552).

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

11534374725700 is a wasteful number, since it uses less digits than its factorization.

11534374725700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4919112 (or 4919105 counting only the distinct ones).

The product of its (nonzero) digits is 2469600, while the sum is 49.

The spelling of 11534374725700 in words is "eleven trillion, five hundred thirty-four billion, three hundred seventy-four million, seven hundred twenty-five thousand, seven hundred".