10520574624 has 384 divisors, whose sum is σ = 37309870080. Its totient is φ = 2818962432.

The previous prime is 10520574619. The next prime is 10520574641. The reversal of 10520574624 is 42647502501.

It is a happy number.

10520574624 is a `hidden beast` number, since 1 + 0 + 5 + 20 + 5 + 7 + 4 + 624 = 666.

It is a super-3 number, since 3×10520574624³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 63 ways as a sum of consecutive naturals, for example, 7371799 + ... + 7373225.

It is an arithmetic number, because the mean of its divisors is an integer number (97161120).

Almost surely, 2^10520574624 is an apocalyptic number.

10520574624 is a gapful number since it is divisible by the number (14) 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 10520574624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18654935040).

10520574624 is an abundant number, since it is smaller than the sum of its proper divisors (26789295456).

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

10520574624 is a wasteful number, since it uses less digits than its factorization.

10520574624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 10520574624 in words is "ten billion, five hundred twenty million, five hundred seventy-four thousand, six hundred twenty-four".