10084870080 has 168 divisors, whose sum is σ = 35025555552. Its totient is φ = 2663110656.

The previous prime is 10084870073. The next prime is 10084870091. The reversal of 10084870080 is 8007848001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 279642 + ... + 313638.

Almost surely, 2^10084870080 is an apocalyptic number.

10084870080 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 10084870080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17512777776).

10084870080 is an abundant number, since it is smaller than the sum of its proper divisors (24940685472).

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

10084870080 is a wasteful number, since it uses less digits than its factorization.

10084870080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34123 (or 34110 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 10084870080 in words is "ten billion, eighty-four million, eight hundred seventy thousand, eighty".