10985197600 has 72 divisors (see below), whose sum is σ = 28880534340. Its totient is φ = 4056069120.

The previous prime is 10985197583. The next prime is 10985197673. The reversal of 10985197600 is 679158901.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 539539984 + 10445657616 = 23228^2 + 102204^2 .

It is a super-2 number, since 2×10985197600² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 517735 + ... + 538534.

Almost surely, 2^10985197600 is an apocalyptic number.

10985197600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10985197600 is an abundant number, since it is smaller than the sum of its proper divisors (17895336740).

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

10985197600 is a wasteful number, since it uses less digits than its factorization.

10985197600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056302 (or 1056289 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 46.

The spelling of 10985197600 in words is "ten billion, nine hundred eighty-five million, one hundred ninety-seven thousand, six hundred".