10275892690656 has 768 divisors, whose sum is σ = 30780398960640. Its totient is φ = 2988629360640.

The previous prime is 10275892690643. The next prime is 10275892690669. The reversal of 10275892690656 is 65609629857201.

It is an interprime number because it is at equal distance from previous prime (10275892690643) and next prime (10275892690669).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15981170271 + ... + 15981170913.

It is an arithmetic number, because the mean of its divisors is an integer number (40078644480).

Almost surely, 2^{10275892690656} is an apocalyptic number.

10275892690656 is a gapful number since it is divisible by the number (16) 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 10275892690656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15390199480320).

10275892690656 is an abundant number, since it is smaller than the sum of its proper divisors (20504506269984).

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

10275892690656 is a wasteful number, since it uses less digits than its factorization.

10275892690656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 66.

The spelling of 10275892690656 in words is "ten trillion, two hundred seventy-five billion, eight hundred ninety-two million, six hundred ninety thousand, six hundred fifty-six".