10076776774038 has 128 divisors (see below), whose sum is σ = 25167154037760. Its totient is φ = 2965351783680.

The previous prime is 10076776774037. The next prime is 10076776774039. The reversal of 10076776774038 is 83047767767001.

10076776774038 is a `hidden beast` number, since 100 + 7 + 67 + 7 + 67 + 7 + 403 + 8 = 666.

10076776774038 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10076776774037) and next prime (10076776774039).

It is a super-2 number, since 2×10076776774038² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10076776774037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 137543445 + ... + 137616687.

It is an arithmetic number, because the mean of its divisors is an integer number (196618390920).

Almost surely, 2^{10076776774038} is an apocalyptic number.

10076776774038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10076776774038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12583577018880).

10076776774038 is an abundant number, since it is smaller than the sum of its proper divisors (15090377263722).

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

10076776774038 is a wasteful number, since it uses less digits than its factorization.

10076776774038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81811 (or 81805 counting only the distinct ones).

The product of its (nonzero) digits is 58084992, while the sum is 63.

The spelling of 10076776774038 in words is "ten trillion, seventy-six billion, seven hundred seventy-six million, seven hundred seventy-four thousand, thirty-eight".