77555161152 has 224 divisors, whose sum is σ = 268975677440. Its totient is φ = 21443719680.

The previous prime is 77555161127. The next prime is 77555161181. The reversal of 77555161152 is 25116155577.

77555161152 is a `hidden beast` number, since 7 + 75 + 5 + 516 + 11 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 77555161098 and 77555161107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271563 + ... + 478389.

Almost surely, 2^77555161152 is an apocalyptic number.

77555161152 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 77555161152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134487838720).

77555161152 is an abundant number, since it is smaller than the sum of its proper divisors (191420516288).

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

77555161152 is a wasteful number, since it uses less digits than its factorization.

77555161152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206886 (or 206870 counting only the distinct ones).

The product of its digits is 367500, while the sum is 45.

The spelling of 77555161152 in words is "seventy-seven billion, five hundred fifty-five million, one hundred sixty-one thousand, one hundred fifty-two".