11514685870080 has 832 divisors, whose sum is σ = 42783472343040. Its totient is φ = 2971173519360.

The previous prime is 11514685870003. The next prime is 11514685870087. The reversal of 11514685870080 is 8007858641511.

11514685870080 is a `hidden beast` number, since 1 + 1 + 51 + 4 + 6 + 8 + 587 + 0 + 0 + 8 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11514685869999 and 11514685870026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11514685870087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1388478414 + ... + 1388486706.

It is an arithmetic number, because the mean of its divisors is an integer number (51422442720).

Almost surely, 2^{11514685870080} is an apocalyptic number.

11514685870080 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 11514685870080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21391736171520).

11514685870080 is an abundant number, since it is smaller than the sum of its proper divisors (31268786472960).

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

11514685870080 is an frugal number, since it uses more digits than its factorization.

11514685870080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8374 (or 8334 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 54.

The spelling of 11514685870080 in words is "eleven trillion, five hundred fourteen billion, six hundred eighty-five million, eight hundred seventy thousand, eighty".