10681425664 has 144 divisors (see below), whose sum is σ = 26854170112. Its totient is φ = 4126961664.

The previous prime is 10681425661. The next prime is 10681425743. The reversal of 10681425664 is 46652418601.

It is a super-2 number, since 2×10681425664² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 10681425664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10681425661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 996397 + ... + 1007059.

Almost surely, 2^10681425664 is an apocalyptic number.

10681425664 is a gapful number since it is divisible by the number (14) 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 10681425664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13427085056).

10681425664 is an abundant number, since it is smaller than the sum of its proper divisors (16172744448).

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

10681425664 is a wasteful number, since it uses less digits than its factorization.

10681425664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10742 (or 10728 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The spelling of 10681425664 in words is "ten billion, six hundred eighty-one million, four hundred twenty-five thousand, six hundred sixty-four".