10219678560 has 576 divisors, whose sum is σ = 43272133632. Its totient is φ = 2138738688.

The previous prime is 10219678559. The next prime is 10219678583. The reversal of 10219678560 is 6587691201.

10219678560 is a `hidden beast` number, since 1 + 0 + 2 + 19 + 6 + 78 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21883447 + ... + 21883913.

It is an arithmetic number, because the mean of its divisors is an integer number (75125232).

Almost surely, 2^10219678560 is an apocalyptic number.

10219678560 is a gapful number since it is divisible by the number (10) 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 10219678560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21636066816).

10219678560 is an abundant number, since it is smaller than the sum of its proper divisors (33052455072).

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

10219678560 is a wasteful number, since it uses less digits than its factorization.

10219678560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 10219678560 in words is "ten billion, two hundred nineteen million, six hundred seventy-eight thousand, five hundred sixty".