11205153071100 has 360 divisors, whose sum is σ = 36433225936800. Its totient is φ = 2978962790400.

The previous prime is 11205153071089. The next prime is 11205153071179. The reversal of 11205153071100 is 117035150211.

11205153071100 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 51 + 530 + 71 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6964047096 + ... + 6964048704.

It is an arithmetic number, because the mean of its divisors is an integer number (101203405380).

Almost surely, 2^{11205153071100} is an apocalyptic number.

11205153071100 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 11205153071100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18216612968400).

11205153071100 is an abundant number, since it is smaller than the sum of its proper divisors (25228072865700).

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

11205153071100 is a wasteful number, since it uses less digits than its factorization.

11205153071100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3715 (or 3699 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 27.

The spelling of 11205153071100 in words is "eleven trillion, two hundred five billion, one hundred fifty-three million, seventy-one thousand, one hundred".