155680077168 has 960 divisors, whose sum is σ = 604266880000. Its totient is φ = 38224327680.

The previous prime is 155680077151. The next prime is 155680077169. The reversal of 155680077168 is 861770086551.

155680077168 is a `hidden beast` number, since 1 + 5 + 568 + 0 + 0 + 7 + 71 + 6 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155680077169) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 340656396 + ... + 340656852.

Almost surely, 2^155680077168 is an apocalyptic number.

155680077168 is a gapful number since it is divisible by the number (18) 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 155680077168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302133440000).

155680077168 is an abundant number, since it is smaller than the sum of its proper divisors (448586802832).

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

155680077168 is a wasteful number, since it uses less digits than its factorization.

155680077168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 155680077168 in words is "one hundred fifty-five billion, six hundred eighty million, seventy-seven thousand, one hundred sixty-eight".