10051058080 has 96 divisors (see below), whose sum is σ = 28013368320. Its totient is φ = 3334901760.

The previous prime is 10051058077. The next prime is 10051058081. The reversal of 10051058080 is 8085015001.

10051058080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (10051058081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110025 + ... + 179464.

It is an arithmetic number, because the mean of its divisors is an integer number (291805920).

Almost surely, 2^10051058080 is an apocalyptic number.

10051058080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10051058080 is an abundant number, since it is smaller than the sum of its proper divisors (17962310240).

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

10051058080 is a wasteful number, since it uses less digits than its factorization.

10051058080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289542 (or 289534 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 28.

The spelling of 10051058080 in words is "ten billion, fifty-one million, fifty-eight thousand, eighty".