10655855578368 has 1296 divisors, whose sum is σ = 41653604813184. Its totient is φ = 2544031825920.

The previous prime is 10655855578301. The next prime is 10655855578373. The reversal of 10655855578368 is 86387555855601.

10655855578368 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 5 + 8 + 5 + 557 + 8 + 3 + 68 = 666.

It is a super-2 number, since 2×10655855578368² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 10655855578296 and 10655855578305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8784711330 + ... + 8784712542.

Almost surely, 2^{10655855578368} is an apocalyptic number.

10655855578368 is a gapful number since it is divisible by the number (18) 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 10655855578368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20826802406592).

10655855578368 is an abundant number, since it is smaller than the sum of its proper divisors (30997749234816).

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

10655855578368 is a wasteful number, since it uses less digits than its factorization.

10655855578368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1572 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 1209600000, while the sum is 72.

The spelling of 10655855578368 in words is "ten trillion, six hundred fifty-five billion, eight hundred fifty-five million, five hundred seventy-eight thousand, three hundred sixty-eight".