11542661200 has 120 divisors (see below), whose sum is σ = 32785937280. Its totient is φ = 3820992000.

The previous prime is 11542661197. The next prime is 11542661201. The reversal of 11542661200 is 216624511.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11542661201) 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, 10125 + ... + 152275.

It is an arithmetic number, because the mean of its divisors is an integer number (273216144).

Almost surely, 2^11542661200 is an apocalyptic number.

11542661200 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 11542661200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16392968640).

11542661200 is an abundant number, since it is smaller than the sum of its proper divisors (21243276080).

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

11542661200 is a wasteful number, since it uses less digits than its factorization.

11542661200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142205 (or 142194 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The spelling of 11542661200 in words is "eleven billion, five hundred forty-two million, six hundred sixty-one thousand, two hundred".