10712548080 has 960 divisors, whose sum is σ = 44587146240. Its totient is φ = 2364899328.

The previous prime is 10712548073. The next prime is 10712548081. The reversal of 10712548080 is 8084521701.

10712548080 is a `hidden beast` number, since 10 + 71 + 25 + 480 + 80 = 666.

It is a super-2 number, since 2×10712548080² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10712548081) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 110438592 + ... + 110438688.

It is an arithmetic number, because the mean of its divisors is an integer number (46444944).

Almost surely, 2^10712548080 is an apocalyptic number.

10712548080 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 10712548080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22293573120).

10712548080 is an abundant number, since it is smaller than the sum of its proper divisors (33874598160).

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

10712548080 is a wasteful number, since it uses less digits than its factorization.

10712548080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 10712548080 in words is "ten billion, seven hundred twelve million, five hundred forty-eight thousand, eighty".