10772830080 has 192 divisors, whose sum is σ = 37258902720. Its totient is φ = 2868203520.

The previous prime is 10772830067. The next prime is 10772830099. The reversal of 10772830080 is 8003827701.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 5246334 + ... + 5248386.

It is an arithmetic number, because the mean of its divisors is an integer number (194056785).

Almost surely, 2^10772830080 is an apocalyptic number.

10772830080 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 10772830080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18629451360).

10772830080 is an abundant number, since it is smaller than the sum of its proper divisors (26486072640).

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

10772830080 is a wasteful number, since it uses less digits than its factorization.

10772830080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2989 (or 2974 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 10772830080 in words is "ten billion, seven hundred seventy-two million, eight hundred thirty thousand, eighty".