11486787418400 has 144 divisors (see below), whose sum is σ = 32116769770176. Its totient is φ = 3929892971520.

The previous prime is 11486787418363. The next prime is 11486787418423. The reversal of 11486787418400 is 481478768411.

It is a self number, because there is not a number n which added to its sum of digits gives 11486787418400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 419042 + ... + 4811358.

It is an arithmetic number, because the mean of its divisors is an integer number (223033123404).

Almost surely, 2^{11486787418400} is an apocalyptic number.

11486787418400 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 11486787418400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16058384885088).

11486787418400 is an abundant number, since it is smaller than the sum of its proper divisors (20629982351776).

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

11486787418400 is a wasteful number, since it uses less digits than its factorization.

11486787418400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4392811 (or 4392798 counting only the distinct ones).

The product of its (nonzero) digits is 9633792, while the sum is 59.

The spelling of 11486787418400 in words is "eleven trillion, four hundred eighty-six billion, seven hundred eighty-seven million, four hundred eighteen thousand, four hundred".