10748869560 has 512 divisors, whose sum is σ = 42674688000. Its totient is φ = 2372198400.

The previous prime is 10748869553. The next prime is 10748869577. The reversal of 10748869560 is 6596884701.

10748869560 is a `hidden beast` number, since 1 + 0 + 74 + 8 + 8 + 6 + 9 + 560 = 666.

10748869560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10748869497 and 10748869506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12200320 + ... + 12201200.

It is an arithmetic number, because the mean of its divisors is an integer number (83349000).

Almost surely, 2^10748869560 is an apocalyptic number.

10748869560 is a gapful number since it is divisible by the number (10) 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 10748869560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21337344000).

10748869560 is an abundant number, since it is smaller than the sum of its proper divisors (31925818440).

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

10748869560 is a wasteful number, since it uses less digits than its factorization.

10748869560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 10748869560 in words is "ten billion, seven hundred forty-eight million, eight hundred sixty-nine thousand, five hundred sixty".