11598922621440 has 3840 divisors, whose sum is σ = 55072155156480. Its totient is φ = 2304317030400.

The previous prime is 11598922621373. The next prime is 11598922621441. The reversal of 11598922621440 is 4412622989511.

11598922621440 is a `hidden beast` number, since 1 + 1 + 5 + 9 + 8 + 9 + 2 + 2 + 621 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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 (11598922621441) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 139746055639 + ... + 139746055721.

It is an arithmetic number, because the mean of its divisors is an integer number (14341707072).

Almost surely, 2^{11598922621440} is an apocalyptic number.

11598922621440 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 11598922621440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27536077578240).

11598922621440 is an abundant number, since it is smaller than the sum of its proper divisors (43473232535040).

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

11598922621440 is an equidigital number, since it uses as much as digits as its factorization.

11598922621440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 11598922621440 in words is "eleven trillion, five hundred ninety-eight billion, nine hundred twenty-two million, six hundred twenty-one thousand, four hundred forty".