10059041280 has 160 divisors (see below), whose sum is σ = 32217134400. Its totient is φ = 2677440512.

The previous prime is 10059041273. The next prime is 10059041357. The reversal of 10059041280 is 8214095001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×10059041280² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6212311 + ... + 6213929.

It is an arithmetic number, because the mean of its divisors is an integer number (201357090).

Almost surely, 2^10059041280 is an apocalyptic number.

10059041280 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 10059041280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16108567200).

10059041280 is an abundant number, since it is smaller than the sum of its proper divisors (22158093120).

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

10059041280 is an equidigital number, since it uses as much as digits as its factorization.

10059041280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2454 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The spelling of 10059041280 in words is "ten billion, fifty-nine million, forty-one thousand, two hundred eighty".