10120759488 has 588 divisors, whose sum is σ = 37029222360. Its totient is φ = 2727696384.

The previous prime is 10120759471. The next prime is 10120759499. The reversal of 10120759488 is 88495702101.

It is a tau number, because it is divible by the number of its divisors (588).

It is a super-2 number, since 2×10120759488² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 43436620 + ... + 43436852.

Almost surely, 2^10120759488 is an apocalyptic number.

10120759488 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 10120759488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18514611180).

10120759488 is an abundant number, since it is smaller than the sum of its proper divisors (26908462872).

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

10120759488 is an equidigital number, since it uses as much as digits as its factorization.

10120759488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 10120759488 in words is "ten billion, one hundred twenty million, seven hundred fifty-nine thousand, four hundred eighty-eight".