180377604038016 has 1024 divisors, whose sum is σ = 729037117440000. Its totient is φ = 42455636213760.

The previous prime is 180377604038003. The next prime is 180377604038053. The reversal of 180377604038016 is 610830406773081.

180377604038016 is a `hidden beast` number, since 1 + 80 + 3 + 7 + 76 + 0 + 403 + 80 + 16 = 666.

180377604038016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 115515400 + ... + 117066488.

It is an arithmetic number, because the mean of its divisors is an integer number (711950310000).

Almost surely, 2^{180377604038016} is an apocalyptic number.

180377604038016 is a gapful number since it is divisible by the number (16) 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 180377604038016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364518558720000).

180377604038016 is an abundant number, since it is smaller than the sum of its proper divisors (548659513401984).

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

180377604038016 is a wasteful number, since it uses less digits than its factorization.

180377604038016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551172 (or 1551154 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 180377604038016 in words is "one hundred eighty trillion, three hundred seventy-seven billion, six hundred four million, thirty-eight thousand, sixteen".