1155838102200 has 504 divisors, whose sum is σ = 4280248289880. Its totient is φ = 290082124800.

The previous prime is 1155838102117. The next prime is 1155838102229. The reversal of 1155838102200 is 22018385511.

1155838102200 is a `hidden beast` number, since 1 + 1 + 5 + 58 + 381 + 0 + 220 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 42122485 + ... + 42149915.

Almost surely, 2^{1155838102200} is an apocalyptic number.

1155838102200 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 1155838102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2140124144940).

1155838102200 is an abundant number, since it is smaller than the sum of its proper divisors (3124410187680).

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

1155838102200 is a wasteful number, since it uses less digits than its factorization.

1155838102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27499 (or 27458 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 1155838102200 in words is "one trillion, one hundred fifty-five billion, eight hundred thirty-eight million, one hundred two thousand, two hundred".