10056324096 has 528 divisors, whose sum is σ = 37374617280. Its totient is φ = 2647572480.

The previous prime is 10056324071. The next prime is 10056324101. The reversal of 10056324096 is 69042365001.

It is a happy number.

10056324096 is a `hidden beast` number, since 1 + 0 + 0 + 563 + 2 + 4 + 0 + 96 = 666.

It is a super-2 number, since 2×10056324096² (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 self number, because there is not a number n which added to its sum of digits gives 10056324096.

It is a congruent number.

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, 17611491 + ... + 17612061.

It is an arithmetic number, because the mean of its divisors is an integer number (70785260).

Almost surely, 2^10056324096 is an apocalyptic number.

10056324096 is a gapful number since it is divisible by the number (16) 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 10056324096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18687308640).

10056324096 is an abundant number, since it is smaller than the sum of its proper divisors (27318293184).

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

10056324096 is a wasteful number, since it uses less digits than its factorization.

10056324096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 10056324096 its reverse (69042365001), we get a palindrome (79098689097).

The spelling of 10056324096 in words is "ten billion, fifty-six million, three hundred twenty-four thousand, ninety-six".