387255170016000 has 3456 divisors, whose sum is σ = 1662917186810880. Its totient is φ = 85303296000000.

The previous prime is 387255170015999. The next prime is 387255170016037. The reversal of 387255170016000 is 610071552783.

It is a happy number.

387255170016000 is a `hidden beast` number, since 3 + 8 + 7 + 25 + 5 + 17 + 0 + 0 + 1 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 965723615800 + ... + 965723616200.

It is an arithmetic number, because the mean of its divisors is an integer number (481168167480).

Almost surely, 2^{387255170016000} is an apocalyptic number.

387255170016000 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 387255170016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831458593405440).

387255170016000 is an abundant number, since it is smaller than the sum of its proper divisors (1275662016794880).

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

387255170016000 is a wasteful number, since it uses less digits than its factorization.

387255170016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 387255170016000 in words is "three hundred eighty-seven trillion, two hundred fifty-five billion, one hundred seventy million, sixteen thousand".