10524049920 has 480 divisors, whose sum is σ = 39130339248. Its totient is φ = 2604662784.

The previous prime is 10524049889. The next prime is 10524049931. The reversal of 10524049920 is 2994042501.

10524049920 is a `hidden beast` number, since 1 + 0 + 524 + 0 + 49 + 92 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3935805696 + 6588244224 = 62736^2 + 81168^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×10524049920² (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 47 ways as a sum of consecutive naturals, for example, 37992822 + ... + 37993098.

Almost surely, 2^10524049920 is an apocalyptic number.

10524049920 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 10524049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19565169624).

10524049920 is an abundant number, since it is smaller than the sum of its proper divisors (28606289328).

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

10524049920 is a wasteful number, since it uses less digits than its factorization.

10524049920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 10524049920 in words is "ten billion, five hundred twenty-four million, forty-nine thousand, nine hundred twenty".