10656250133616 has 120 divisors (see below), whose sum is σ = 30658213909440. Its totient is φ = 3452752977408.

The previous prime is 10656250133597. The next prime is 10656250133663. The reversal of 10656250133616 is 61633105265601.

It is a happy number.

10656250133616 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 6 + 25 + 0 + 1 + 3 + 3 + 616 = 666.

It is a super-2 number, since 2×10656250133616² (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 23 ways as a sum of consecutive naturals, for example, 4573306 + ... + 6498278.

It is an arithmetic number, because the mean of its divisors is an integer number (255485115912).

Almost surely, 2^{10656250133616} is an apocalyptic number.

10656250133616 is a gapful number since it is divisible by the number (16) 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 10656250133616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15329106954720).

10656250133616 is an abundant number, since it is smaller than the sum of its proper divisors (20001963775824).

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

10656250133616 is a wasteful number, since it uses less digits than its factorization.

10656250133616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1926063 (or 1926054 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 10656250133616 in words is "ten trillion, six hundred fifty-six billion, two hundred fifty million, one hundred thirty-three thousand, six hundred sixteen".