10008010078080 has 1024 divisors, whose sum is σ = 39039152947200. Its totient is φ = 2131238191104.

The previous prime is 10008010078007. The next prime is 10008010078097. The reversal of 10008010078080 is 8087001080001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3239885176 + ... + 3239888264.

It is an arithmetic number, because the mean of its divisors is an integer number (38124172800).

Almost surely, 2^{10008010078080} is an apocalyptic number.

10008010078080 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 10008010078080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19519576473600).

10008010078080 is an abundant number, since it is smaller than the sum of its proper divisors (29031142869120).

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

10008010078080 is a wasteful number, since it uses less digits than its factorization.

10008010078080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3411 (or 3399 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 33.

The spelling of 10008010078080 in words is "ten trillion, eight billion, ten million, seventy-eight thousand, eighty".