11739542384640 has 832 divisors, whose sum is σ = 43406955012096. Its totient is φ = 2653585145856.

The previous prime is 11739542384579. The next prime is 11739542384641. The reversal of 11739542384640 is 4648324593711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11739542384641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19340267217 + ... + 19340267823.

It is an arithmetic number, because the mean of its divisors is an integer number (52171820928).

It is a 1-persistent number, because it is pandigital, but 2⋅11739542384640 = 23479084769280 is not.

Almost surely, 2^{11739542384640} is an apocalyptic number.

11739542384640 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 11739542384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21703477506048).

11739542384640 is an abundant number, since it is smaller than the sum of its proper divisors (31667412627456).

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

11739542384640 is a wasteful number, since it uses less digits than its factorization.

11739542384640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 11739542384640 in words is "eleven trillion, seven hundred thirty-nine billion, five hundred forty-two million, three hundred eighty-four thousand, six hundred forty".