10275102720 has 560 divisors, whose sum is σ = 39012510240. Its totient is φ = 2579890176.

The previous prime is 10275102707. The next prime is 10275102749. The reversal of 10275102720 is 2720157201.

10275102720 is a `hidden beast` number, since 102 + 7 + 510 + 27 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 63037359 + ... + 63037521.

Almost surely, 2^10275102720 is an apocalyptic number.

10275102720 is a gapful number since it is divisible by the number (10) 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 10275102720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19506255120).

10275102720 is an abundant number, since it is smaller than the sum of its proper divisors (28737407520).

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

10275102720 is an equidigital number, since it uses as much as digits as its factorization.

10275102720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

Adding to 10275102720 its reverse (2720157201), we get a palindrome (12995259921).

The spelling of 10275102720 in words is "ten billion, two hundred seventy-five million, one hundred two thousand, seven hundred twenty".