10521823464 has 96 divisors (see below), whose sum is σ = 30586462920. Its totient is φ = 3255717888.

The previous prime is 10521823451. The next prime is 10521823511. The reversal of 10521823464 is 46432812501.

It is a happy number.

10521823464 is a `hidden beast` number, since 10 + 5 + 2 + 182 + 3 + 464 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7470144900 + 3051678564 = 86430^2 + 55242^2 .

It is a super-2 number, since 2×10521823464² (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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30474 + ... + 148230.

Almost surely, 2^10521823464 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 10521823464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15293231460).

10521823464 is an abundant number, since it is smaller than the sum of its proper divisors (20064639456).

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

10521823464 is a wasteful number, since it uses less digits than its factorization.

10521823464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117859 (or 117852 counting only the distinct ones).

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

The spelling of 10521823464 in words is "ten billion, five hundred twenty-one million, eight hundred twenty-three thousand, four hundred sixty-four".