10505358740 has 48 divisors (see below), whose sum is σ = 22788595200. Its totient is φ = 4063789440.

The previous prime is 10505358739. The next prime is 10505358751. The reversal of 10505358740 is 4785350501.

It is a super-2 number, since 2×10505358740² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10505358694 and 10505358703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1048394 + ... + 1058366.

It is an arithmetic number, because the mean of its divisors is an integer number (474762400).

Almost surely, 2^10505358740 is an apocalyptic number.

10505358740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10505358740 is an abundant number, since it is smaller than the sum of its proper divisors (12283236460).

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

10505358740 is a wasteful number, since it uses less digits than its factorization.

10505358740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11712 (or 11710 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 38.

The spelling of 10505358740 in words is "ten billion, five hundred five million, three hundred fifty-eight thousand, seven hundred forty".