11982390359040 has 704 divisors, whose sum is σ = 44957072102400. Its totient is φ = 3018176888832.

The previous prime is 11982390358979. The next prime is 11982390359047. The reversal of 11982390359040 is 4095309328911.

11982390359040 is a `hidden beast` number, since 1 + 1 + 9 + 8 + 2 + 3 + 9 + 0 + 3 + 590 + 40 = 666.

11982390359040 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11982390359047) 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, 911409747 + ... + 911422893.

Almost surely, 2^{11982390359040} is an apocalyptic number.

11982390359040 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 11982390359040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22478536051200).

11982390359040 is an abundant number, since it is smaller than the sum of its proper divisors (32974681743360).

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

11982390359040 is a wasteful number, since it uses less digits than its factorization.

11982390359040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13547 (or 13523 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 11982390359040 in words is "eleven trillion, nine hundred eighty-two billion, three hundred ninety million, three hundred fifty-nine thousand, forty".