11988637838352 has 480 divisors, whose sum is σ = 39427343155200. Its totient is φ = 3329663293440.

The previous prime is 11988637838351. The next prime is 11988637838363. The reversal of 11988637838352 is 25383873688911.

11988637838352 is a `hidden beast` number, since 1 + 1 + 98 + 86 + 37 + 8 + 383 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (11988637838351) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9738941577 + ... + 9738942807.

It is an arithmetic number, because the mean of its divisors is an integer number (82140298240).

Almost surely, 2^{11988637838352} is an apocalyptic number.

11988637838352 is a gapful number since it is divisible by the number (12) 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 11988637838352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19713671577600).

11988637838352 is an abundant number, since it is smaller than the sum of its proper divisors (27438705316848).

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

11988637838352 is a wasteful number, since it uses less digits than its factorization.

11988637838352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2531 (or 2522 counting only the distinct ones).

The product of its digits is 418037760, while the sum is 72.

The spelling of 11988637838352 in words is "eleven trillion, nine hundred eighty-eight billion, six hundred thirty-seven million, eight hundred thirty-eight thousand, three hundred fifty-two".