177968412120 has 256 divisors, whose sum is σ = 569228083200. Its totient is φ = 44441210880.

The previous prime is 177968412103. The next prime is 177968412143. The reversal of 177968412120 is 21214869771.

177968412120 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 177968412120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15555042 + ... + 15566478.

It is an arithmetic number, because the mean of its divisors is an integer number (2223547200).

Almost surely, 2^177968412120 is an apocalyptic number.

177968412120 is a gapful number since it is divisible by the number (10) 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 177968412120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284614041600).

177968412120 is an abundant number, since it is smaller than the sum of its proper divisors (391259671080).

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

177968412120 is a wasteful number, since it uses less digits than its factorization.

177968412120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11618 (or 11614 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 48.

The spelling of 177968412120 in words is "one hundred seventy-seven billion, nine hundred sixty-eight million, four hundred twelve thousand, one hundred twenty".