11554131161100 has 288 divisors, whose sum is σ = 38646766448640. Its totient is φ = 2638452992000.

The previous prime is 11554131161099. The next prime is 11554131161101. The reversal of 11554131161100 is 116113145511.

It is an interprime number because it is at equal distance from previous prime (11554131161099) and next prime (11554131161101).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (11554131161101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2451349 + ... + 5396051.

It is an arithmetic number, because the mean of its divisors is an integer number (134190161280).

Almost surely, 2^{11554131161100} is an apocalyptic number.

11554131161100 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 11554131161100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19323383224320).

11554131161100 is an abundant number, since it is smaller than the sum of its proper divisors (27092635287540).

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

11554131161100 is a wasteful number, since it uses less digits than its factorization.

11554131161100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2944801 (or 2944794 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 30.

The spelling of 11554131161100 in words is "eleven trillion, five hundred fifty-four billion, one hundred thirty-one million, one hundred sixty-one thousand, one hundred".