387119747252160 has 1344 divisors, whose sum is σ = 1491153089986560. Its totient is φ = 91560302346240.

The previous prime is 387119747252159. The next prime is 387119747252179. The reversal of 387119747252160 is 61252747911783.

387119747252160 is a `hidden beast` number, since 3 + 8 + 7 + 1 + 1 + 9 + 7 + 47 + 2 + 521 + 60 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 47261593665 + ... + 47261601855.

It is an arithmetic number, because the mean of its divisors is an integer number (1109488906240).

It is a 1-persistent number, because it is pandigital, but 2⋅387119747252160 = 774239494504320 is not.

Almost surely, 2^{387119747252160} is an apocalyptic number.

387119747252160 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 387119747252160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745576544993280).

387119747252160 is an abundant number, since it is smaller than the sum of its proper divisors (1104033342734400).

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

387119747252160 is a wasteful number, since it uses less digits than its factorization.

387119747252160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8686 (or 8673 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 387119747252160 in words is "three hundred eighty-seven trillion, one hundred nineteen billion, seven hundred forty-seven million, two hundred fifty-two thousand, one hundred sixty".