10610758080 has 448 divisors, whose sum is σ = 42690775680. Its totient is φ = 2457796608.

The previous prime is 10610758079. The next prime is 10610758127. The reversal of 10610758080 is 8085701601.

10610758080 is a `hidden beast` number, since 10 + 61 + 0 + 7 + 580 + 8 + 0 = 666.

It is a super-2 number, since 2×10610758080² (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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1906662 + ... + 1912218.

It is an arithmetic number, because the mean of its divisors is an integer number (95291910).

Almost surely, 2^10610758080 is an apocalyptic number.

10610758080 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 10610758080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21345387840).

10610758080 is an abundant number, since it is smaller than the sum of its proper divisors (32080017600).

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

10610758080 is a wasteful number, since it uses less digits than its factorization.

10610758080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5613 (or 5597 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 10610758080 in words is "ten billion, six hundred ten million, seven hundred fifty-eight thousand, eighty".