10682219520 has 1056 divisors, whose sum is σ = 47044972800. Its totient is φ = 2285273088.

The previous prime is 10682219519. The next prime is 10682219557. The reversal of 10682219520 is 2591228601.

10682219520 is a `hidden beast` number, since 106 + 8 + 2 + 21 + 9 + 520 = 666.

It is a super-2 number, since 2×10682219520² (a number of 21 digits) contains 22 as substring.

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

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, 128701399 + ... + 128701481.

Almost surely, 2^10682219520 is an apocalyptic number.

10682219520 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 10682219520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23522486400).

10682219520 is an abundant number, since it is smaller than the sum of its proper divisors (36362753280).

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

10682219520 is a wasteful number, since it uses less digits than its factorization.

10682219520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 10682219520 in words is "ten billion, six hundred eighty-two million, two hundred nineteen thousand, five hundred twenty".