10485780480 has 936 divisors, whose sum is σ = 44865973152. Its totient is φ = 2341011456.

The previous prime is 10485780469. The next prime is 10485780491. The reversal of 10485780480 is 8408758401.

10485780480 is a `hidden beast` number, since 1 + 0 + 48 + 57 + 80 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (10485780469) and next prime (10485780491).

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 (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 243855339 + ... + 243855381.

It is an arithmetic number, because the mean of its divisors is an integer number (47933732).

Almost surely, 2^10485780480 is an apocalyptic number.

10485780480 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 10485780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22432986576).

10485780480 is an abundant number, since it is smaller than the sum of its proper divisors (34380192672).

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

10485780480 is an frugal number, since it uses more digits than its factorization.

10485780480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 10485780480 in words is "ten billion, four hundred eighty-five million, seven hundred eighty thousand, four hundred eighty".