10648917504 has 320 divisors, whose sum is σ = 33755071680. Its totient is φ = 3303014400.

The previous prime is 10648917469. The next prime is 10648917523. The reversal of 10648917504 is 40571984601.

10648917504 is a `hidden beast` number, since 1 + 0 + 64 + 89 + 1 + 7 + 504 = 666.

It is a super-2 number, since 2×10648917504² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10648917504.

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, 26555704 + ... + 26556104.

It is an arithmetic number, because the mean of its divisors is an integer number (105484599).

Almost surely, 2^10648917504 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 10648917504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16877535840).

10648917504 is an abundant number, since it is smaller than the sum of its proper divisors (23106154176).

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

10648917504 is a wasteful number, since it uses less digits than its factorization.

10648917504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 10648917504 in words is "ten billion, six hundred forty-eight million, nine hundred seventeen thousand, five hundred four".