10523628456 has 192 divisors, whose sum is σ = 31146897600. Its totient is φ = 2949703680.

The previous prime is 10523628419. The next prime is 10523628461. The reversal of 10523628456 is 65482632501.

It is a super-2 number, since 2×10523628456² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2910906 + ... + 2914518.

It is an arithmetic number, because the mean of its divisors is an integer number (162223425).

Almost surely, 2^10523628456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10523628456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15573448800).

10523628456 is an abundant number, since it is smaller than the sum of its proper divisors (20623269144).

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

10523628456 is a wasteful number, since it uses less digits than its factorization.

10523628456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3720 (or 3705 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 10523628456 in words is "ten billion, five hundred twenty-three million, six hundred twenty-eight thousand, four hundred fifty-six".