10758234240 has 512 divisors, whose sum is σ = 41599353600. Its totient is φ = 2611740672.

The previous prime is 10758234233. The next prime is 10758234251. The reversal of 10758234240 is 4243285701.

It is a happy number.

10758234240 is a `hidden beast` number, since 1 + 0 + 7 + 582 + 34 + 2 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10758234195 and 10758234204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18644832 + ... + 18645408.

Almost surely, 2^10758234240 is an apocalyptic number.

10758234240 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 10758234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20799676800).

10758234240 is an abundant number, since it is smaller than the sum of its proper divisors (30841119360).

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

10758234240 is a wasteful number, since it uses less digits than its factorization.

10758234240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 10758234240 in words is "ten billion, seven hundred fifty-eight million, two hundred thirty-four thousand, two hundred forty".