10485504000 has 768 divisors, whose sum is σ = 40782268800. Its totient is φ = 2654208000.

The previous prime is 10485503981. The next prime is 10485504031. The reversal of 10485504000 is 40558401.

10485504000 is a `hidden beast` number, since 104 + 8 + 550 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 255743980 + ... + 255744020.

Almost surely, 2^10485504000 is an apocalyptic number.

10485504000 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 10485504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20391134400).

10485504000 is an abundant number, since it is smaller than the sum of its proper divisors (30296764800).

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

10485504000 is an equidigital number, since it uses as much as digits as its factorization.

10485504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 10485504000 in words is "ten billion, four hundred eighty-five million, five hundred four thousand".