10554561655680 has 512 divisors, whose sum is σ = 40448813184000. Its totient is φ = 2289798217728.

The previous prime is 10554561655679. The next prime is 10554561655691. The reversal of 10554561655680 is 8655616545501.

10554561655680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10554561655680² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10554561655680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22766352 + ... + 23225328.

It is an arithmetic number, because the mean of its divisors is an integer number (79001588250).

Almost surely, 2^{10554561655680} is an apocalyptic number.

10554561655680 is a gapful number since it is divisible by the number (10) 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 10554561655680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20224406592000).

10554561655680 is an abundant number, since it is smaller than the sum of its proper divisors (29894251528320).

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

10554561655680 is a wasteful number, since it uses less digits than its factorization.

10554561655680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459094 (or 459082 counting only the distinct ones).

The product of its (nonzero) digits is 21600000, while the sum is 57.

The spelling of 10554561655680 in words is "ten trillion, five hundred fifty-four billion, five hundred sixty-one million, six hundred fifty-five thousand, six hundred eighty".