10272705637632 has 144 divisors (see below), whose sum is σ = 27926091459840. Its totient is φ = 3350898671616.

The previous prime is 10272705637631. The next prime is 10272705637657. The reversal of 10272705637632 is 23673650727201.

It is a super-2 number, since 2×10272705637632² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10272705637631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322285248 + ... + 322317120.

Almost surely, 2^{10272705637632} is an apocalyptic number.

10272705637632 is a gapful number since it is divisible by the number (12) 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 10272705637632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13963045729920).

10272705637632 is an abundant number, since it is smaller than the sum of its proper divisors (17653385822208).

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

10272705637632 is an equidigital number, since it uses as much as digits as its factorization.

10272705637632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40868 (or 40854 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 51.

The spelling of 10272705637632 in words is "ten trillion, two hundred seventy-two billion, seven hundred five million, six hundred thirty-seven thousand, six hundred thirty-two".