1359931120128 has 800 divisors, whose sum is σ = 4903549664640. Its totient is φ = 366559395840.

The previous prime is 1359931120127. The next prime is 1359931120133. The reversal of 1359931120128 is 8210211399531.

1359931120128 is a `hidden beast` number, since 1 + 3 + 599 + 3 + 11 + 20 + 1 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (1359931120127) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2057384118 + ... + 2057384778.

Almost surely, 2^{1359931120128} is an apocalyptic number.

1359931120128 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 1359931120128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2451774832320).

1359931120128 is an abundant number, since it is smaller than the sum of its proper divisors (3543618544512).

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

1359931120128 is an equidigital number, since it uses as much as digits as its factorization.

1359931120128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 1359931120128 in words is "one trillion, three hundred fifty-nine billion, nine hundred thirty-one million, one hundred twenty thousand, one hundred twenty-eight".