128161013760 has 672 divisors, whose sum is σ = 489476856960. Its totient is φ = 30821842944.

The previous prime is 128161013741. The next prime is 128161013791. The reversal of 128161013760 is 67310161821.

128161013760 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 610 + 1 + 37 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 225238756 + ... + 225239324.

It is an arithmetic number, because the mean of its divisors is an integer number (728388180).

Almost surely, 2^128161013760 is an apocalyptic number.

128161013760 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 128161013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244738428480).

128161013760 is an abundant number, since it is smaller than the sum of its proper divisors (361315843200).

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

128161013760 is a wasteful number, since it uses less digits than its factorization.

128161013760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 128161013760 in words is "one hundred twenty-eight billion, one hundred sixty-one million, thirteen thousand, seven hundred sixty".