10557765108198 has 192 divisors, whose sum is σ = 28809288548352. Its totient is φ = 2714453000640.

The previous prime is 10557765108167. The next prime is 10557765108211. The reversal of 10557765108198 is 89180156775501.

10557765108198 is a `hidden beast` number, since 1 + 0 + 5 + 577 + 6 + 51 + 0 + 8 + 1 + 9 + 8 = 666.

It is a super-2 number, since 2×10557765108198² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 349313715 + ... + 349343937.

It is an arithmetic number, because the mean of its divisors is an integer number (150048377856).

Almost surely, 2^{10557765108198} is an apocalyptic number.

10557765108198 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10557765108198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14404644274176).

10557765108198 is an abundant number, since it is smaller than the sum of its proper divisors (18251523440154).

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

10557765108198 is a wasteful number, since it uses less digits than its factorization.

10557765108198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32799 (or 32796 counting only the distinct ones).

The product of its (nonzero) digits is 21168000, while the sum is 63.

The spelling of 10557765108198 in words is "ten trillion, five hundred fifty-seven billion, seven hundred sixty-five million, one hundred eight thousand, one hundred ninety-eight".