11851165844400 has 240 divisors, whose sum is σ = 39273661626368. Its totient is φ = 3051668736000.

The previous prime is 11851165844389. The next prime is 11851165844417. The reversal of 11851165844400 is 444856115811.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×11851165844400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11851165844400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16651845 + ... + 17348955.

Almost surely, 2^{11851165844400} is an apocalyptic number.

11851165844400 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 11851165844400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19636830813184).

11851165844400 is an abundant number, since it is smaller than the sum of its proper divisors (27422495781968).

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

11851165844400 is a wasteful number, since it uses less digits than its factorization.

11851165844400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697620 (or 697609 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 48.

The spelling of 11851165844400 in words is "eleven trillion, eight hundred fifty-one billion, one hundred sixty-five million, eight hundred forty-four thousand, four hundred".