10582773180 has 192 divisors, whose sum is σ = 35271548928. Its totient is φ = 2319851520.

The previous prime is 10582773167. The next prime is 10582773181. The reversal of 10582773180 is 8137728501.

It is a super-2 number, since 2×10582773180² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10582773181) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1467664 + ... + 1474856.

It is an arithmetic number, because the mean of its divisors is an integer number (183705984).

Almost surely, 2^10582773180 is an apocalyptic number.

10582773180 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 10582773180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17635774464).

10582773180 is an abundant number, since it is smaller than the sum of its proper divisors (24688775748).

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

10582773180 is a wasteful number, since it uses less digits than its factorization.

10582773180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7356 (or 7354 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 42.

The spelling of 10582773180 in words is "ten billion, five hundred eighty-two million, seven hundred seventy-three thousand, one hundred eighty".