10679174352 has 640 divisors, whose sum is σ = 41035468800. Its totient is φ = 2575411200.

The previous prime is 10679174351. The next prime is 10679174353. The reversal of 10679174352 is 25347197601.

It is an interprime number because it is at equal distance from previous prime (10679174351) and next prime (10679174353).

It is a super-2 number, since 2×10679174352² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10679174298 and 10679174307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10679174351) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38552838 + ... + 38553114.

It is an arithmetic number, because the mean of its divisors is an integer number (64117920).

Almost surely, 2^10679174352 is an apocalyptic number.

10679174352 is a gapful number since it is divisible by the number (12) 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 10679174352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20517734400).

10679174352 is an abundant number, since it is smaller than the sum of its proper divisors (30356294448).

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

10679174352 is a wasteful number, since it uses less digits than its factorization.

10679174352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 10679174352 in words is "ten billion, six hundred seventy-nine million, one hundred seventy-four thousand, three hundred fifty-two".