10135001664 has 224 divisors, whose sum is σ = 30979872000. Its totient is φ = 3245211648.

The previous prime is 10135001663. The next prime is 10135001671. The reversal of 10135001664 is 46610053101.

It is a super-3 number, since 3×10135001664³ (a number of 31 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10135001663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13179072 + ... + 13179840.

It is an arithmetic number, because the mean of its divisors is an integer number (138303000).

Almost surely, 2^10135001664 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 10135001664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15489936000).

10135001664 is an abundant number, since it is smaller than the sum of its proper divisors (20844870336).

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

10135001664 is a wasteful number, since it uses less digits than its factorization.

10135001664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 10135001664 its reverse (46610053101), we get a palindrome (56745054765).

The spelling of 10135001664 in words is "ten billion, one hundred thirty-five million, one thousand, six hundred sixty-four".