10074528576 has 420 divisors, whose sum is σ = 36799109028. Its totient is φ = 2707955712.

The previous prime is 10074528553. The next prime is 10074528577. The reversal of 10074528576 is 67582547001.

10074528576 is a `hidden beast` number, since 1 + 0 + 0 + 74 + 5 + 2 + 8 + 576 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5715360000 + 4359168576 = 75600^2 + 66024^2 .

It is a super-2 number, since 2×10074528576² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10074528577) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4317106 + ... + 4319438.

Almost surely, 2^10074528576 is an apocalyptic number.

10074528576 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 10074528576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18399554514).

10074528576 is an abundant number, since it is smaller than the sum of its proper divisors (26724580452).

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

10074528576 is a wasteful number, since it uses less digits than its factorization.

10074528576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2388 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 10074528576 in words is "ten billion, seventy-four million, five hundred twenty-eight thousand, five hundred seventy-six".