11210865868800 has 1536 divisors, whose sum is σ = 44852195942400. Its totient is φ = 2728950497280.

The previous prime is 11210865868799. The next prime is 11210865868843. The reversal of 11210865868800 is 886856801211.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36517478247 + ... + 36517478553.

It is an arithmetic number, because the mean of its divisors is an integer number (29200648400).

Almost surely, 2^{11210865868800} is an apocalyptic number.

11210865868800 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 11210865868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22426097971200).

11210865868800 is an abundant number, since it is smaller than the sum of its proper divisors (33641330073600).

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

11210865868800 is a wasteful number, since it uses less digits than its factorization.

11210865868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 54.

The spelling of 11210865868800 in words is "eleven trillion, two hundred ten billion, eight hundred sixty-five million, eight hundred sixty-eight thousand, eight hundred".