10510596960 has 48 divisors (see below), whose sum is σ = 33108381936. Its totient is φ = 2802825728.

The previous prime is 10510596959. The next prime is 10510596989. The reversal of 10510596960 is 6969501501.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10510596960² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10948059 + ... + 10949018.

It is an arithmetic number, because the mean of its divisors is an integer number (689757957).

Almost surely, 2^10510596960 is an apocalyptic number.

10510596960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10510596960 is an abundant number, since it is smaller than the sum of its proper divisors (22597784976).

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

10510596960 is a wasteful number, since it uses less digits than its factorization.

10510596960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21897095 (or 21897087 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 42.

The spelling of 10510596960 in words is "ten billion, five hundred ten million, five hundred ninety-six thousand, nine hundred sixty".