10219206564 has 252 divisors, whose sum is σ = 32050375644. Its totient is φ = 2839390848.

The previous prime is 10219206559. The next prime is 10219206623. The reversal of 10219206564 is 46560291201.

10219206564 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 92 + 0 + 6 + 564 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8161676964 + 2057529600 = 90342^2 + 45360^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 5285742 + ... + 5287674.

Almost surely, 2^10219206564 is an apocalyptic number.

10219206564 is a gapful number since it is divisible by the number (14) 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 10219206564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16025187822).

10219206564 is an abundant number, since it is smaller than the sum of its proper divisors (21831169080).

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

10219206564 is a wasteful number, since it uses less digits than its factorization.

10219206564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2006 (or 1982 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 10219206564 its reverse (46560291201), we get a palindrome (56779497765).

The spelling of 10219206564 in words is "ten billion, two hundred nineteen million, two hundred six thousand, five hundred sixty-four".