10786597668 has 288 divisors, whose sum is σ = 35188328448. Its totient is φ = 2704780800.

The previous prime is 10786597667. The next prime is 10786597739. The reversal of 10786597668 is 86679568701.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (10786597667) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12160321 + ... + 12161207.

It is an arithmetic number, because the mean of its divisors is an integer number (122181696).

Almost surely, 2^10786597668 is an apocalyptic number.

10786597668 is a gapful number since it is divisible by the number (18) 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 10786597668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17594164224).

10786597668 is an abundant number, since it is smaller than the sum of its proper divisors (24401730780).

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

10786597668 is a wasteful number, since it uses less digits than its factorization.

10786597668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 10786597668 in words is "ten billion, seven hundred eighty-six million, five hundred ninety-seven thousand, six hundred sixty-eight".