10579856140280 has 128 divisors (see below), whose sum is σ = 28847354618880. Its totient is φ = 3409062266880.

The previous prime is 10579856140261. The next prime is 10579856140291. The reversal of 10579856140280 is 8204165897501.

10579856140280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10579856140280² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1680869 + ... + 4897451.

It is an arithmetic number, because the mean of its divisors is an integer number (225369957960).

Almost surely, 2^{10579856140280} is an apocalyptic number.

10579856140280 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 10579856140280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14423677309440).

10579856140280 is an abundant number, since it is smaller than the sum of its proper divisors (18267498478600).

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

10579856140280 is a wasteful number, since it uses less digits than its factorization.

10579856140280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3217309 (or 3217305 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 56.

The spelling of 10579856140280 in words is "ten trillion, five hundred seventy-nine billion, eight hundred fifty-six million, one hundred forty thousand, two hundred eighty".