10272216667356 has 216 divisors, whose sum is σ = 31807652516640. Its totient is φ = 2781557501184.

The previous prime is 10272216667343. The next prime is 10272216667439. The reversal of 10272216667356 is 65376661227201.

It is a super-2 number, since 2×10272216667356² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3260950 + ... + 5583746.

It is an arithmetic number, because the mean of its divisors is an integer number (147257650540).

Almost surely, 2^{10272216667356} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10272216667356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15903826258320).

10272216667356 is an abundant number, since it is smaller than the sum of its proper divisors (21535435849284).

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

10272216667356 is a wasteful number, since it uses less digits than its factorization.

10272216667356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2322953 (or 2322941 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 10272216667356 in words is "ten trillion, two hundred seventy-two billion, two hundred sixteen million, six hundred sixty-seven thousand, three hundred fifty-six".