10777705152060 has 192 divisors, whose sum is σ = 37715985699840. Its totient is φ = 2234047150080.

The previous prime is 10777705152031. The next prime is 10777705152083. The reversal of 10777705152060 is 6025150777701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 962299 + ... + 4741458.

It is an arithmetic number, because the mean of its divisors is an integer number (196437425520).

Almost surely, 2^{10777705152060} is an apocalyptic number.

10777705152060 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 10777705152060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18857992849920).

10777705152060 is an abundant number, since it is smaller than the sum of its proper divisors (26938280547780).

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

10777705152060 is a wasteful number, since it uses less digits than its factorization.

10777705152060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5704196 (or 5704194 counting only the distinct ones).

The product of its (nonzero) digits is 720300, while the sum is 48.

The spelling of 10777705152060 in words is "ten trillion, seven hundred seventy-seven billion, seven hundred five million, one hundred fifty-two thousand, sixty".