10662629088592 has 160 divisors (see below), whose sum is σ = 22960826413056. Its totient is φ = 4765406515200.

The previous prime is 10662629088569. The next prime is 10662629088613. The reversal of 10662629088592 is 29588092626601.

It is a super-2 number, since 2×10662629088592² (a number of 27 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1141237873 + ... + 1141247215.

Almost surely, 2^{10662629088592} 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 10662629088592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11480413206528).

10662629088592 is an abundant number, since it is smaller than the sum of its proper divisors (12298197324464).

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

10662629088592 is a wasteful number, since it uses less digits than its factorization.

10662629088592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10389 (or 10383 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 64.

The spelling of 10662629088592 in words is "ten trillion, six hundred sixty-two billion, six hundred twenty-nine million, eighty-eight thousand, five hundred ninety-two".