10275403654656 has 1280 divisors, whose sum is σ = 36714770104320. Its totient is φ = 2776606801920.

The previous prime is 10275403654603. The next prime is 10275403654657. The reversal of 10275403654656 is 65645630457201.

10275403654656 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 5 + 40 + 3 + 6 + 546 + 56 = 666.

It is a super-2 number, since 2×10275403654656² (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 (10275403654657) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21099391245 + ... + 21099391731.

It is an arithmetic number, because the mean of its divisors is an integer number (28683414144).

Almost surely, 2^{10275403654656} is an apocalyptic number.

10275403654656 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 10275403654656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18357385052160).

10275403654656 is an abundant number, since it is smaller than the sum of its proper divisors (26439366449664).

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

10275403654656 is an equidigital number, since it uses as much as digits as its factorization.

10275403654656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 10275403654656 in words is "ten trillion, two hundred seventy-five billion, four hundred three million, six hundred fifty-four thousand, six hundred fifty-six".