10523114880 has 128 divisors (see below), whose sum is σ = 34092684000. Its totient is φ = 2760130560.

The previous prime is 10523114821. The next prime is 10523114893. The reversal of 10523114880 is 8841132501.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10523114880² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72196 + ... + 162044.

Almost surely, 2^10523114880 is an apocalyptic number.

10523114880 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 10523114880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17046342000).

10523114880 is an abundant number, since it is smaller than the sum of its proper divisors (23569569120).

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

10523114880 is an equidigital number, since it uses as much as digits as its factorization.

10523114880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89932 (or 89920 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The spelling of 10523114880 in words is "ten billion, five hundred twenty-three million, one hundred fourteen thousand, eight hundred eighty".