10545579180 has 72 divisors (see below), whose sum is σ = 32057009712. Its totient is φ = 2806110336.

The previous prime is 10545579157. The next prime is 10545579199. The reversal of 10545579180 is 8197554501.

10545579180 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 557 + 91 + 8 + 0 = 666.

It is a super-2 number, since 2×10545579180² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 21334 + ... + 146786.

It is an arithmetic number, because the mean of its divisors is an integer number (445236246).

Almost surely, 2^10545579180 is an apocalyptic number.

10545579180 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 10545579180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16028504856).

10545579180 is an abundant number, since it is smaller than the sum of its proper divisors (21511430532).

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

10545579180 is a wasteful number, since it uses less digits than its factorization.

10545579180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125935 (or 125930 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 45.

The spelling of 10545579180 in words is "ten billion, five hundred forty-five million, five hundred seventy-nine thousand, one hundred eighty".