77057127944160 has 288 divisors, whose sum is σ = 304079283016992. Its totient is φ = 16258207150080.

The previous prime is 77057127944149. The next prime is 77057127944161. The reversal of 77057127944160 is 6144972175077.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 77057127944094 and 77057127944103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77057127944161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125703411 + ... + 126314930.

It is an arithmetic number, because the mean of its divisors is an integer number (1055830843809).

Almost surely, 2^{77057127944160} is an apocalyptic number.

77057127944160 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

77057127944160 is an abundant number, since it is smaller than the sum of its proper divisors (227022155072832).

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

77057127944160 is a wasteful number, since it uses less digits than its factorization.

77057127944160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252018386 (or 252018371 counting only the distinct ones).

The product of its (nonzero) digits is 20744640, while the sum is 60.

The spelling of 77057127944160 in words is "seventy-seven trillion, fifty-seven billion, one hundred twenty-seven million, nine hundred forty-four thousand, one hundred sixty".