10465764534560 has 48 divisors (see below), whose sum is σ = 24725568422016. Its totient is φ = 4186272000768.

The previous prime is 10465764534553. The next prime is 10465764534679. The reversal of 10465764534560 is 6543546756401.

It is a junction number, because it is equal to n+sod(n) for n = 10465764534496 and 10465764534505.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31521737 + ... + 31852023.

It is an arithmetic number, because the mean of its divisors is an integer number (515116008792).

Almost surely, 2^{10465764534560} is an apocalyptic number.

10465764534560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10465764534560 is an abundant number, since it is smaller than the sum of its proper divisors (14259803887456).

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

10465764534560 is a wasteful number, since it uses less digits than its factorization.

10465764534560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528345 (or 528337 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 56.

The spelling of 10465764534560 in words is "ten trillion, four hundred sixty-five billion, seven hundred sixty-four million, five hundred thirty-four thousand, five hundred sixty".