10523485440 has 576 divisors, whose sum is σ = 41001004800. Its totient is φ = 2540077056.

The previous prime is 10523485439. The next prime is 10523485471. The reversal of 10523485440 is 4458432501.

It is a happy number.

10523485440 is a `hidden beast` number, since 1 + 0 + 523 + 48 + 54 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×10523485440² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10523485395 and 10523485404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26507322 + ... + 26507718.

It is an arithmetic number, because the mean of its divisors is an integer number (71182300).

Almost surely, 2^10523485440 is an apocalyptic number.

10523485440 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 10523485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20500502400).

10523485440 is an abundant number, since it is smaller than the sum of its proper divisors (30477519360).

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

10523485440 is a wasteful number, since it uses less digits than its factorization.

10523485440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 10523485440 in words is "ten billion, five hundred twenty-three million, four hundred eighty-five thousand, four hundred forty".