381589992960 has 320 divisors, whose sum is σ = 1400842840320. Its totient is φ = 87637524480.

The previous prime is 381589992929. The next prime is 381589993027. The reversal of 381589992960 is 69299985183.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×381589992960² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1486254 + ... + 1723986.

It is an arithmetic number, because the mean of its divisors is an integer number (4377633876).

Almost surely, 2^381589992960 is an apocalyptic number.

381589992960 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 381589992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700421420160).

381589992960 is an abundant number, since it is smaller than the sum of its proper divisors (1019252847360).

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

381589992960 is a wasteful number, since it uses less digits than its factorization.

381589992960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237789 (or 237773 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 69.

The spelling of 381589992960 in words is "three hundred eighty-one billion, five hundred eighty-nine million, nine hundred ninety-two thousand, nine hundred sixty".