11341557665100 has 288 divisors, whose sum is σ = 39378252200000. Its totient is φ = 2783765698560.

The previous prime is 11341557665099. The next prime is 11341557665107. The reversal of 11341557665100 is 156675514311.

11341557665100 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 1 + 5 + 576 + 65 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11341557665107) 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, 11786976 + ... + 12712824.

Almost surely, 2^{11341557665100} is an apocalyptic number.

11341557665100 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 11341557665100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19689126100000).

11341557665100 is an abundant number, since it is smaller than the sum of its proper divisors (28036694534900).

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

11341557665100 is a wasteful number, since it uses less digits than its factorization.

11341557665100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926234 (or 926221 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 11341557665100 in words is "eleven trillion, three hundred forty-one billion, five hundred fifty-seven million, six hundred sixty-five thousand, one hundred".