10219961568 has 48 divisors (see below), whose sum is σ = 26942597136. Its totient is φ = 3392025600.

The previous prime is 10219961567. The next prime is 10219961597. The reversal of 10219961568 is 86516991201.

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

It is a super-2 number, since 2×10219961568² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10219961567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 206083 + ... + 250818.

It is an arithmetic number, because the mean of its divisors is an integer number (561304107).

Almost surely, 2^10219961568 is an apocalyptic number.

It is an amenable number.

10219961568 is an abundant number, since it is smaller than the sum of its proper divisors (16722635568).

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

10219961568 is a wasteful number, since it uses less digits than its factorization.

10219961568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457147 (or 457139 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 48.

The spelling of 10219961568 in words is "ten billion, two hundred nineteen million, nine hundred sixty-one thousand, five hundred sixty-eight".