10170201564 has 60 divisors (see below), whose sum is σ = 26681103064. Its totient is φ = 3378057696.

The previous prime is 10170201511. The next prime is 10170201593. The reversal of 10170201564 is 46510207101.

It is a happy number.

10170201564 is a `hidden beast` number, since 10 + 1 + 70 + 20 + 1 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36234 + ... + 147150.

Almost surely, 2^10170201564 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 10170201564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13340551532).

10170201564 is an abundant number, since it is smaller than the sum of its proper divisors (16510901500).

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

10170201564 is a wasteful number, since it uses less digits than its factorization.

10170201564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111216 (or 111205 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 10170201564 its reverse (46510207101), we get a palindrome (56680408665).

The spelling of 10170201564 in words is "ten billion, one hundred seventy million, two hundred one thousand, five hundred sixty-four".