381886955520 has 512 divisors, whose sum is σ = 1478972908800. Its totient is φ = 82141249536.

The previous prime is 381886955509. The next prime is 381886955521. The reversal of 381886955520 is 25559688183.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (381886955521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58487616 + ... + 58494144.

Almost surely, 2^381886955520 is an apocalyptic number.

381886955520 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 381886955520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739486454400).

381886955520 is an abundant number, since it is smaller than the sum of its proper divisors (1097085953280).

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

381886955520 is an equidigital number, since it uses as much as digits as its factorization.

381886955520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6591 (or 6563 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 60.

The spelling of 381886955520 in words is "three hundred eighty-one billion, eight hundred eighty-six million, nine hundred fifty-five thousand, five hundred twenty".