77131091842560 has 1600 divisors, whose sum is σ = 329953556477952. Its totient is φ = 16852941471744.

The previous prime is 77131091842531. The next prime is 77131091842577. The reversal of 77131091842560 is 6524819013177.

77131091842560 is a `hidden beast` number, since 7 + 7 + 1 + 31 + 0 + 9 + 1 + 8 + 42 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 77131091842497 and 77131091842506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2933508774 + ... + 2933535066.

It is a 1-persistent number, because it is pandigital, but 2⋅77131091842560 = 154262183685120 is not.

Almost surely, 2^{77131091842560} is an apocalyptic number.

77131091842560 is a gapful number since it is divisible by the number (70) 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 77131091842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164976778238976).

77131091842560 is an abundant number, since it is smaller than the sum of its proper divisors (252822464635392).

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

77131091842560 is a wasteful number, since it uses less digits than its factorization.

77131091842560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26425 (or 26400 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 77131091842560 in words is "seventy-seven trillion, one hundred thirty-one billion, ninety-one million, eight hundred forty-two thousand, five hundred sixty".