11915543418240 has 1536 divisors, whose sum is σ = 50724841144320. Its totient is φ = 2320780492800.

The previous prime is 11915543418203. The next prime is 11915543418271. The reversal of 11915543418240 is 4281434551911.

11915543418240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11915543418240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8100300705 + ... + 8100302175.

It is an arithmetic number, because the mean of its divisors is an integer number (33023985120).

Almost surely, 2^{11915543418240} is an apocalyptic number.

11915543418240 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 11915543418240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25362420572160).

11915543418240 is an abundant number, since it is smaller than the sum of its proper divisors (38809297726080).

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

11915543418240 is a wasteful number, since it uses less digits than its factorization.

11915543418240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1832 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 48.

The spelling of 11915543418240 in words is "eleven trillion, nine hundred fifteen billion, five hundred forty-three million, four hundred eighteen thousand, two hundred forty".