1010768060160 has 1152 divisors, whose sum is σ = 3863778105600. Its totient is φ = 249707888640.

The previous prime is 1010768060147. The next prime is 1010768060191. The reversal of 1010768060160 is 610608670101.

1010768060160 is digitally balanced in base 2 and base 4, because in such bases 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 (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3597039220 + ... + 3597039500.

It is an arithmetic number, because the mean of its divisors is an integer number (3353974050).

Almost surely, 2^{1010768060160} is an apocalyptic number.

1010768060160 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 1010768060160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931889052800).

1010768060160 is an abundant number, since it is smaller than the sum of its proper divisors (2853010045440).

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

1010768060160 is a wasteful number, since it uses less digits than its factorization.

1010768060160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 1010768060160 in words is "one trillion, ten billion, seven hundred sixty-eight million, sixty thousand, one hundred sixty".