10780098659568 has 240 divisors, whose sum is σ = 34714166722560. Its totient is φ = 3059106656256.

The previous prime is 10780098659531. The next prime is 10780098659587. The reversal of 10780098659568 is 86595689008701.

10780098659568 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 0 + 0 + 9 + 8 + 6 + 59 + 568 = 666.

It is a super-2 number, since 2×10780098659568² (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 = 10780098659496 and 10780098659505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92210880 + ... + 92327712.

It is an arithmetic number, because the mean of its divisors is an integer number (144642361344).

Almost surely, 2^{10780098659568} is an apocalyptic number.

10780098659568 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 10780098659568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17357083361280).

10780098659568 is an abundant number, since it is smaller than the sum of its proper divisors (23934068062992).

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

10780098659568 is a wasteful number, since it uses less digits than its factorization.

10780098659568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117476 (or 117467 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 72.

The spelling of 10780098659568 in words is "ten trillion, seven hundred eighty billion, ninety-eight million, six hundred fifty-nine thousand, five hundred sixty-eight".