10758061440 has 1024 divisors, whose sum is σ = 47628288000. Its totient is φ = 2239488000.

The previous prime is 10758061417. The next prime is 10758061441. The reversal of 10758061440 is 4416085701.

It is a happy number.

10758061440 is a `hidden beast` number, since 10 + 7 + 580 + 61 + 4 + 4 + 0 = 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 = 10758061395 and 10758061404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10758061441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 71245365 + ... + 71245515.

It is an arithmetic number, because the mean of its divisors is an integer number (46512000).

Almost surely, 2^10758061440 is an apocalyptic number.

10758061440 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 10758061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23814144000).

10758061440 is an abundant number, since it is smaller than the sum of its proper divisors (36870226560).

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

10758061440 is a wasteful number, since it uses less digits than its factorization.

10758061440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 10758061440 in words is "ten billion, seven hundred fifty-eight million, sixty-one thousand, four hundred forty".