10632917549056 has 288 divisors, whose sum is σ = 25018256833920. Its totient is φ = 4466619187200.

The previous prime is 10632917549011. The next prime is 10632917549071. The reversal of 10632917549056 is 65094571923601.

It is a super-2 number, since 2×10632917549056² (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 15 ways as a sum of consecutive naturals, for example, 1123151235 + ... + 1123160701.

It is an arithmetic number, because the mean of its divisors is an integer number (86868947340).

Almost surely, 2^{10632917549056} is an apocalyptic number.

10632917549056 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 10632917549056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12509128416960).

10632917549056 is an abundant number, since it is smaller than the sum of its proper divisors (14385339284864).

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

10632917549056 is an frugal number, since it uses more digits than its factorization.

10632917549056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9572 (or 9540 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 58.

The spelling of 10632917549056 in words is "ten trillion, six hundred thirty-two billion, nine hundred seventeen million, five hundred forty-nine thousand, fifty-six".