10758085632 has 330 divisors, whose sum is σ = 37384885032. Its totient is φ = 3072577536.

The previous prime is 10758085531. The next prime is 10758085661. The reversal of 10758085632 is 23658085701.

10758085632 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 8 + 0 + 8 + 5 + 632 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4062933 + ... + 4065579.

Almost surely, 2^10758085632 is an apocalyptic number.

10758085632 is a gapful number since it is divisible by the number (12) 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 10758085632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18692442516).

10758085632 is an abundant number, since it is smaller than the sum of its proper divisors (26626799400).

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

10758085632 is an equidigital number, since it uses as much as digits as its factorization.

10758085632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2693 (or 2659 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 10758085632 in words is "ten billion, seven hundred fifty-eight million, eighty-five thousand, six hundred thirty-two".