10576848096864 has 72 divisors (see below), whose sum is σ = 34374756321360. Its totient is φ = 3021956598528.

The previous prime is 10576848096821. The next prime is 10576848096907. The reversal of 10576848096864 is 46869084867501.

10576848096864 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 68 + 480 + 9 + 6 + 86 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (10576848096821) and next prime (10576848096907).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10576848096864² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 10576848096792 and 10576848096801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2623224199 + ... + 2623228230.

It is an arithmetic number, because the mean of its divisors is an integer number (477427171130).

Almost surely, 2^{10576848096864} is an apocalyptic number.

10576848096864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10576848096864 is an abundant number, since it is smaller than the sum of its proper divisors (23797908224496).

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

10576848096864 is a wasteful number, since it uses less digits than its factorization.

10576848096864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5246452452 (or 5246452441 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 10576848096864 in words is "ten trillion, five hundred seventy-six billion, eight hundred forty-eight million, ninety-six thousand, eight hundred sixty-four".