10522686240 has 384 divisors, whose sum is σ = 40700620800. Its totient is φ = 2517765120.

The previous prime is 10522686179. The next prime is 10522686253. The reversal of 10522686240 is 4268622501.

It is a happy number.

10522686240 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 26 + 8 + 624 + 0 = 666.

It is a super-2 number, since 2×10522686240² (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 = 10522686195 and 10522686204.

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, 3752679 + ... + 3755481.

It is an arithmetic number, because the mean of its divisors is an integer number (105991200).

Almost surely, 2^10522686240 is an apocalyptic number.

10522686240 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 10522686240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20350310400).

10522686240 is an abundant number, since it is smaller than the sum of its proper divisors (30177934560).

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

10522686240 is a wasteful number, since it uses less digits than its factorization.

10522686240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2917 (or 2903 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 10522686240 in words is "ten billion, five hundred twenty-two million, six hundred eighty-six thousand, two hundred forty".