10272354066 has 192 divisors, whose sum is σ = 26505722880. Its totient is φ = 2955424320.

The previous prime is 10272354049. The next prime is 10272354073. The reversal of 10272354066 is 66045327201.

10272354066 is a `hidden beast` number, since 10 + 2 + 7 + 235 + 406 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10272354066.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9962971 + ... + 9964001.

It is an arithmetic number, because the mean of its divisors is an integer number (138050640).

Almost surely, 2^10272354066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10272354066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13252861440).

10272354066 is an abundant number, since it is smaller than the sum of its proper divisors (16233368814).

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

10272354066 is a wasteful number, since it uses less digits than its factorization.

10272354066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

It can be divided in two parts, 1027235 and 4066, that added together give a palindrome (1031301).

The spelling of 10272354066 in words is "ten billion, two hundred seventy-two million, three hundred fifty-four thousand, sixty-six".