10725272071152 has 80 divisors (see below), whose sum is σ = 28234892279808. Its totient is φ = 3506994167040.

The previous prime is 10725272071121. The next prime is 10725272071181. The reversal of 10725272071152 is 25117027252701.

It is a super-2 number, since 2×10725272071152² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13616577 + ... + 14382687.

Almost surely, 2^{10725272071152} is an apocalyptic number.

10725272071152 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 10725272071152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14117446139904).

10725272071152 is an abundant number, since it is smaller than the sum of its proper divisors (17509620208656).

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

10725272071152 is a wasteful number, since it uses less digits than its factorization.

10725272071152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771678 (or 771672 counting only the distinct ones).

The product of its (nonzero) digits is 137200, while the sum is 42.

The spelling of 10725272071152 in words is "ten trillion, seven hundred twenty-five billion, two hundred seventy-two million, seventy-one thousand, one hundred fifty-two".