10077377770368 has 192 divisors, whose sum is σ = 29330449574400. Its totient is φ = 3320712806400.

The previous prime is 10077377770367. The next prime is 10077377770417. The reversal of 10077377770368 is 86307777377001.

10077377770368 is a `hidden beast` number, since 100 + 7 + 7 + 37 + 77 + 70 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10077377770367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 996669633 + ... + 996679743.

It is an arithmetic number, because the mean of its divisors is an integer number (152762758200).

Almost surely, 2^{10077377770368} is an apocalyptic number.

10077377770368 is a gapful number since it is divisible by the number (18) 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 10077377770368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14665224787200).

10077377770368 is an abundant number, since it is smaller than the sum of its proper divisors (19253071804032).

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

10077377770368 is a wasteful number, since it uses less digits than its factorization.

10077377770368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19941 (or 19926 counting only the distinct ones).

The product of its (nonzero) digits is 50824368, while the sum is 63.

The spelling of 10077377770368 in words is "ten trillion, seventy-seven billion, three hundred seventy-seven million, seven hundred seventy thousand, three hundred sixty-eight".