387180056303280 has 240 divisors, whose sum is σ = 1317525129423360. Its totient is φ = 101887456320000.

The previous prime is 387180056303273. The next prime is 387180056303311. The reversal of 387180056303280 is 82303650081783.

387180056303280 is a `hidden beast` number, since 3 + 8 + 7 + 1 + 8 + 0 + 0 + 56 + 303 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×387180056303280² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5416905 + ... + 28349655.

It is an arithmetic number, because the mean of its divisors is an integer number (5489688039264).

Almost surely, 2^{387180056303280} is an apocalyptic number.

387180056303280 is a gapful number since it is divisible by the number (30) 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 387180056303280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658762564711680).

387180056303280 is an abundant number, since it is smaller than the sum of its proper divisors (930345073120080).

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

387180056303280 is a wasteful number, since it uses less digits than its factorization.

387180056303280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22933080 (or 22933071 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 387180056303280 in words is "three hundred eighty-seven trillion, one hundred eighty billion, fifty-six million, three hundred three thousand, two hundred eighty".