10777017124704 has 48 divisors (see below), whose sum is σ = 29778599954880. Its totient is φ = 3403268565120.

The previous prime is 10777017124649. The next prime is 10777017124729. The reversal of 10777017124704 is 40742171077701.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10777017124704² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 2954224362 + ... + 2954228009.

It is an arithmetic number, because the mean of its divisors is an integer number (620387499060).

Almost surely, 2^{10777017124704} is an apocalyptic number.

It is an amenable number.

10777017124704 is an abundant number, since it is smaller than the sum of its proper divisors (19001582830176).

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

10777017124704 is a wasteful number, since it uses less digits than its factorization.

10777017124704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5908452403 (or 5908452395 counting only the distinct ones).

The product of its (nonzero) digits is 537824, while the sum is 48.

The spelling of 10777017124704 in words is "ten trillion, seven hundred seventy-seven billion, seventeen million, one hundred twenty-four thousand, seven hundred four".