10527616197 has 128 divisors (see below), whose sum is σ = 19964620800. Its totient is φ = 5337446400.

The previous prime is 10527616109. The next prime is 10527616223. The reversal of 10527616197 is 79161672501.

10527616197 is a `hidden beast` number, since 1 + 0 + 5 + 27 + 6 + 1 + 619 + 7 = 666.

It is not a de Polignac number, because 10527616197 - 2¹⁶ = 10527550661 is a prime.

It is a super-2 number, since 2×10527616197² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10527616397) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20206297 + ... + 20206817.

It is an arithmetic number, because the mean of its divisors is an integer number (155973600).

Almost surely, 2^10527616197 is an apocalyptic number.

10527616197 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10527616197 is a deficient number, since it is larger than the sum of its proper divisors (9437004603).

10527616197 is a wasteful number, since it uses less digits than its factorization.

10527616197 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 10527616197 in words is "ten billion, five hundred twenty-seven million, six hundred sixteen thousand, one hundred ninety-seven".