10080854784 has 1152 divisors, whose sum is σ = 42196008960. Its totient is φ = 2289254400.

The previous prime is 10080854783. The next prime is 10080854789. The reversal of 10080854784 is 48745808001.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (10080854783) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 214486249 + ... + 214486295.

It is an arithmetic number, because the mean of its divisors is an integer number (36628480).

Almost surely, 2^10080854784 is an apocalyptic number.

10080854784 is a gapful number since it is divisible by the number (14) 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 10080854784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21098004480).

10080854784 is an abundant number, since it is smaller than the sum of its proper divisors (32115154176).

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

10080854784 is a wasteful number, since it uses less digits than its factorization.

10080854784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 114 counting only the distinct ones).

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

The spelling of 10080854784 in words is "ten billion, eighty million, eight hundred fifty-four thousand, seven hundred eighty-four".