10523918880 has 144 divisors (see below), whose sum is σ = 36883678104. Its totient is φ = 2730516480.

The previous prime is 10523918869. The next prime is 10523918971. The reversal of 10523918880 is 8881932501.

It is a happy number.

10523918880 is a `hidden beast` number, since 105 + 2 + 391 + 88 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8495677584 + 2028241296 = 92172^2 + 45036^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10523918880² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45481 + ... + 152040.

Almost surely, 2^10523918880 is an apocalyptic number.

10523918880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10523918880 is an abundant number, since it is smaller than the sum of its proper divisors (26359759224).

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

10523918880 is a wasteful number, since it uses less digits than its factorization.

10523918880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197579 (or 197568 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 10523918880 in words is "ten billion, five hundred twenty-three million, nine hundred eighteen thousand, eight hundred eighty".