10375695605688 has 256 divisors, whose sum is σ = 31267799040000. Its totient is φ = 2864982960000.

The previous prime is 10375695605669. The next prime is 10375695605689. The reversal of 10375695605688 is 88650659657301.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10375695605689) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 191622123 + ... + 191676261.

It is an arithmetic number, because the mean of its divisors is an integer number (122139840000).

Almost surely, 2^{10375695605688} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10375695605688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15633899520000).

10375695605688 is an abundant number, since it is smaller than the sum of its proper divisors (20892103434312).

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

10375695605688 is a wasteful number, since it uses less digits than its factorization.

10375695605688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54951 (or 54933 counting only the distinct ones).

The product of its (nonzero) digits is 326592000, while the sum is 69.

The spelling of 10375695605688 in words is "ten trillion, three hundred seventy-five billion, six hundred ninety-five million, six hundred five thousand, six hundred eighty-eight".