10488079952064 has 1344 divisors, whose sum is σ = 38098380902400. Its totient is φ = 2817275904000.

The previous prime is 10488079952041. The next prime is 10488079952101. The reversal of 10488079952064 is 46025997088401.

10488079952064 is a `hidden beast` number, since 1 + 0 + 48 + 8 + 0 + 7 + 9 + 9 + 520 + 64 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10488079951992 and 10488079952010.

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 191 ways as a sum of consecutive naturals, for example, 10272359874 + ... + 10272360894.

It is an arithmetic number, because the mean of its divisors is an integer number (28347009600).

Almost surely, 2^{10488079952064} 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 10488079952064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19049190451200).

10488079952064 is an abundant number, since it is smaller than the sum of its proper divisors (27610300950336).

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

10488079952064 is a wasteful number, since it uses less digits than its factorization.

10488079952064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 10488079952064 in words is "ten trillion, four hundred eighty-eight billion, seventy-nine million, nine hundred fifty-two thousand, sixty-four".