10679825520 has 960 divisors, whose sum is σ = 48616888320. Its totient is φ = 2036441088.

The previous prime is 10679825489. The next prime is 10679825573. The reversal of 10679825520 is 2552897601.

10679825520 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 98 + 2 + 552 + 0 = 666.

It is a super-2 number, since 2×10679825520² (a number of 21 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 28632054 + ... + 28632426.

It is an arithmetic number, because the mean of its divisors is an integer number (50642592).

Almost surely, 2^10679825520 is an apocalyptic number.

10679825520 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 10679825520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24308444160).

10679825520 is an abundant number, since it is smaller than the sum of its proper divisors (37937062800).

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

10679825520 is a wasteful number, since it uses less digits than its factorization.

10679825520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 10679825520 in words is "ten billion, six hundred seventy-nine million, eight hundred twenty-five thousand, five hundred twenty".