10880551618560 has 720 divisors, whose sum is σ = 42230521553220. Its totient is φ = 2678255124480.

The previous prime is 10880551618537. The next prime is 10880551618603. The reversal of 10880551618560 is 6581615508801.

10880551618560 is a `hidden beast` number, since 1 + 0 + 8 + 8 + 0 + 55 + 16 + 18 + 560 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1671414580224 + 9209137038336 = 1292832^2 + 3034656^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10880551618497 and 10880551618506.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 140136550 + ... + 140214170.

Almost surely, 2^{10880551618560} is an apocalyptic number.

10880551618560 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 10880551618560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21115260776610).

10880551618560 is an abundant number, since it is smaller than the sum of its proper divisors (31349969934660).

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

10880551618560 is an equidigital number, since it uses as much as digits as its factorization.

10880551618560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77686 (or 77644 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 54.

The spelling of 10880551618560 in words is "ten trillion, eight hundred eighty billion, five hundred fifty-one million, six hundred eighteen thousand, five hundred sixty".