10679572062432 has 1728 divisors, whose sum is σ = 41428075014144. Its totient is φ = 2634712842240.

The previous prime is 10679572062409. The next prime is 10679572062433. The reversal of 10679572062432 is 23426027597601.

10679572062432 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 9 + 5 + 7 + 2 + 0 + 624 + 3 + 2 = 666.

It is a super-2 number, since 2×10679572062432² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10679572062433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 24778589257 + ... + 24778589687.

It is an arithmetic number, because the mean of its divisors is an integer number (23974580448).

Almost surely, 2^{10679572062432} is an apocalyptic number.

10679572062432 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 10679572062432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20714037507072).

10679572062432 is an abundant number, since it is smaller than the sum of its proper divisors (30748502951712).

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

10679572062432 is a wasteful number, since it uses less digits than its factorization.

10679572062432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 10679572062432 in words is "ten trillion, six hundred seventy-nine billion, five hundred seventy-two million, sixty-two thousand, four hundred thirty-two".