10524894480 has 180 divisors, whose sum is σ = 37548333732. Its totient is φ = 2641489920.

The previous prime is 10524894473. The next prime is 10524894481. The reversal of 10524894480 is 8449842501.

10524894480 is a `hidden beast` number, since 1 + 0 + 52 + 489 + 44 + 80 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1037355264 + 9487539216 = 32208^2 + 97404^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×10524894480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10524894481) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 182790 + ... + 233370.

Almost surely, 2^10524894480 is an apocalyptic number.

10524894480 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 10524894480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18774166866).

10524894480 is an abundant number, since it is smaller than the sum of its proper divisors (27023439252).

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

10524894480 is a wasteful number, since it uses less digits than its factorization.

10524894480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50634 (or 50608 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 10524894480 in words is "ten billion, five hundred twenty-four million, eight hundred ninety-four thousand, four hundred eighty".