11542606144600 has 96 divisors (see below), whose sum is σ = 26975459620800. Its totient is φ = 4593196108800.

The previous prime is 11542606144571. The next prime is 11542606144609. The reversal of 11542606144600 is 644160624511.

It is a happy number.

It is a super-2 number, since 2×11542606144600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11542606144609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36536116 + ... + 36850684.

It is an arithmetic number, because the mean of its divisors is an integer number (280994371050).

Almost surely, 2^{11542606144600} is an apocalyptic number.

11542606144600 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 11542606144600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13487729810400).

11542606144600 is an abundant number, since it is smaller than the sum of its proper divisors (15432853476200).

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

11542606144600 is a wasteful number, since it uses less digits than its factorization.

11542606144600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315533 (or 315524 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 11542606144600 in words is "eleven trillion, five hundred forty-two billion, six hundred six million, one hundred forty-four thousand, six hundred".