10509041664 has 540 divisors, whose sum is σ = 36258651520. Its totient is φ = 2919628800.

The previous prime is 10509041659. The next prime is 10509041671. The reversal of 10509041664 is 46614090501.

It is a super-2 number, since 2×10509041664² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 339001329 + ... + 339001359.

Almost surely, 2^10509041664 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 10509041664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18129325760).

10509041664 is an abundant number, since it is smaller than the sum of its proper divisors (25749609856).

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

10509041664 is a wasteful number, since it uses less digits than its factorization.

10509041664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 10509041664 in words is "ten billion, five hundred nine million, forty-one thousand, six hundred sixty-four".