10482635243520 has 1656 divisors, whose sum is σ = 43859798145072. Its totient is φ = 2391759912960.

The previous prime is 10482635243513. The next prime is 10482635243573. The reversal of 10482635243520 is 2534253628401.

10482635243520 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 2 + 635 + 2 + 4 + 3 + 5 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 616625602552 + ... + 616625602568.

Almost surely, 2^{10482635243520} is an apocalyptic number.

10482635243520 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 10482635243520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21929899072536).

10482635243520 is an abundant number, since it is smaller than the sum of its proper divisors (33377162901552).

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

10482635243520 is an frugal number, since it uses more digits than its factorization.

10482635243520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 10482635243520 in words is "ten trillion, four hundred eighty-two billion, six hundred thirty-five million, two hundred forty-three thousand, five hundred twenty".