10098208569056 has 192 divisors, whose sum is σ = 21598302656448. Its totient is φ = 4629744058368.

The previous prime is 10098208569049. The next prime is 10098208569067. The reversal of 10098208569056 is 65096580289001.

It is a super-2 number, since 2×10098208569056² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10098208568986 and 10098208569004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3800604080 + ... + 3800606736.

It is an arithmetic number, because the mean of its divisors is an integer number (112491159669).

Almost surely, 2^{10098208569056} is an apocalyptic number.

10098208569056 is a gapful number since it is divisible by the number (16) 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 10098208569056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10799151328224).

10098208569056 is an abundant number, since it is smaller than the sum of its proper divisors (11500094087392).

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

10098208569056 is a wasteful number, since it uses less digits than its factorization.

10098208569056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3613 (or 3605 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 59.

The spelling of 10098208569056 in words is "ten trillion, ninety-eight billion, two hundred eight million, five hundred sixty-nine thousand, fifty-six".