10197555264 has 784 divisors, whose sum is σ = 36939272832. Its totient is φ = 2759049216.

The previous prime is 10197555209. The next prime is 10197555289. The reversal of 10197555264 is 46255579101.

It is a happy number.

10197555264 is a `hidden beast` number, since 1 + 0 + 1 + 97 + 5 + 552 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 237152427 + ... + 237152469.

Almost surely, 2^10197555264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10197555264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18469636416).

10197555264 is an abundant number, since it is smaller than the sum of its proper divisors (26741717568).

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

10197555264 is a wasteful number, since it uses less digits than its factorization.

10197555264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 10197555264 in words is "ten billion, one hundred ninety-seven million, five hundred fifty-five thousand, two hundred sixty-four".