10777172105440 has 144 divisors (see below), whose sum is σ = 29127410458272. Its totient is φ = 3745189011456.

The previous prime is 10777172105437. The next prime is 10777172105551. The reversal of 10777172105440 is 4450127177701.

It is a super-2 number, since 2×10777172105440² (a number of 27 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 8363124 + ... + 9565363.

It is an arithmetic number, because the mean of its divisors is an integer number (202273683738).

Almost surely, 2^{10777172105440} is an apocalyptic number.

10777172105440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10777172105440 is an abundant number, since it is smaller than the sum of its proper divisors (18350238352832).

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

10777172105440 is a wasteful number, since it uses less digits than its factorization.

10777172105440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17928549 (or 17928524 counting only the distinct ones).

The product of its (nonzero) digits is 384160, while the sum is 46.

The spelling of 10777172105440 in words is "ten trillion, seven hundred seventy-seven billion, one hundred seventy-two million, one hundred five thousand, four hundred forty".