10277716112256 has 128 divisors (see below), whose sum is σ = 28494583107840. Its totient is φ = 3276097679360.

The previous prime is 10277716112243. The next prime is 10277716112281. The reversal of 10277716112256 is 65221161777201.

10277716112256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34127071 + ... + 34426913.

It is an arithmetic number, because the mean of its divisors is an integer number (222613930530).

Almost surely, 2^{10277716112256} is an apocalyptic number.

10277716112256 is a gapful number since it is divisible by the number (16) 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 10277716112256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14247291553920).

10277716112256 is an abundant number, since it is smaller than the sum of its proper divisors (18216866995584).

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

10277716112256 is a wasteful number, since it uses less digits than its factorization.

10277716112256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303764 (or 303752 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 48.

Adding to 10277716112256 its reverse (65221161777201), we get a palindrome (75498877889457).

The spelling of 10277716112256 in words is "ten trillion, two hundred seventy-seven billion, seven hundred sixteen million, one hundred twelve thousand, two hundred fifty-six".