10738690560 has 1280 divisors, whose sum is σ = 47021990400. Its totient is φ = 2293235712.

The previous prime is 10738690511. The next prime is 10738690583. The reversal of 10738690560 is 6509683701.

It is a happy number.

10738690560 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 86 + 9 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×10738690560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 290234862 + ... + 290234898.

It is an arithmetic number, because the mean of its divisors is an integer number (36735930).

Almost surely, 2^10738690560 is an apocalyptic number.

10738690560 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 10738690560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23510995200).

10738690560 is an abundant number, since it is smaller than the sum of its proper divisors (36283299840).

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

10738690560 is a wasteful number, since it uses less digits than its factorization.

10738690560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 10738690560 in words is "ten billion, seven hundred thirty-eight million, six hundred ninety thousand, five hundred sixty".