77125354473312 has 144 divisors (see below), whose sum is σ = 220939420141440. Its totient is φ = 25519264598016.

The previous prime is 77125354473269. The next prime is 77125354473367. The reversal of 77125354473312 is 21337445352177.

77125354473312 is a `hidden beast` number, since 7 + 7 + 1 + 2 + 53 + 544 + 7 + 33 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 791557014 + ... + 791654442.

It is an arithmetic number, because the mean of its divisors is an integer number (1534301528760).

Almost surely, 2^{77125354473312} is an apocalyptic number.

77125354473312 is a gapful number since it is divisible by the number (72) 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 77125354473312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110469710070720).

77125354473312 is an abundant number, since it is smaller than the sum of its proper divisors (143814065668128).

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

77125354473312 is a wasteful number, since it uses less digits than its factorization.

77125354473312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117645 (or 117634 counting only the distinct ones).

The product of its digits is 14817600, while the sum is 54.

The spelling of 77125354473312 in words is "seventy-seven trillion, one hundred twenty-five billion, three hundred fifty-four million, four hundred seventy-three thousand, three hundred twelve".