120563526894760 has 128 divisors (see below), whose sum is σ = 289317238560000. Its totient is φ = 45058035216384.

The previous prime is 120563526894757. The next prime is 120563526894761. The reversal of 120563526894760 is 67498625365021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 120563526894692 and 120563526894701.

It is not an unprimeable number, because it can be changed into a prime (120563526894761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1180220166 + ... + 1180322314.

It is an arithmetic number, because the mean of its divisors is an integer number (2260290926250).

It is a 1-persistent number, because it is pandigital, but 2⋅120563526894760 = 241127053789520 is not.

Almost surely, 2^{120563526894760} is an apocalyptic number.

120563526894760 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 120563526894760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144658619280000).

120563526894760 is an abundant number, since it is smaller than the sum of its proper divisors (168753711665240).

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

120563526894760 is a wasteful number, since it uses less digits than its factorization.

120563526894760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114803 (or 114799 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 64.

The spelling of 120563526894760 in words is "one hundred twenty trillion, five hundred sixty-three billion, five hundred twenty-six million, eight hundred ninety-four thousand, seven hundred sixty".