10005502352664 has 128 divisors (see below), whose sum is σ = 30793043312640. Its totient is φ = 2638223903232.

The previous prime is 10005502352653. The next prime is 10005502352687. The reversal of 10005502352664 is 46625320550001.

It is a super-2 number, since 2×10005502352664² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9302889 + ... + 10322535.

It is an arithmetic number, because the mean of its divisors is an integer number (240570650880).

Almost surely, 2^{10005502352664} is an apocalyptic number.

10005502352664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10005502352664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15396521656320).

10005502352664 is an abundant number, since it is smaller than the sum of its proper divisors (20787540959976).

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

10005502352664 is a wasteful number, since it uses less digits than its factorization.

10005502352664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024169 (or 1024165 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 39.

The spelling of 10005502352664 in words is "ten trillion, five billion, five hundred two million, three hundred fifty-two thousand, six hundred sixty-four".