11989504735488 has 864 divisors, whose sum is σ = 42516826369920. Its totient is φ = 3320891965440.

The previous prime is 11989504735487. The next prime is 11989504735541. The reversal of 11989504735488 is 88453740598911.

It is a happy number.

11989504735488 is a `hidden beast` number, since 1 + 1 + 9 + 8 + 9 + 5 + 0 + 4 + 73 + 548 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 (11989504735487) 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, 2263449256 + ... + 2263454552.

It is an arithmetic number, because the mean of its divisors is an integer number (49209289780).

Almost surely, 2^{11989504735488} is an apocalyptic number.

11989504735488 is a gapful number since it is divisible by the number (18) 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 11989504735488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21258413184960).

11989504735488 is an abundant number, since it is smaller than the sum of its proper divisors (30527321634432).

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

11989504735488 is a wasteful number, since it uses less digits than its factorization.

11989504735488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5540 (or 5513 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 72.

The spelling of 11989504735488 in words is "eleven trillion, nine hundred eighty-nine billion, five hundred four million, seven hundred thirty-five thousand, four hundred eighty-eight".