382857995520 has 4320 divisors, whose sum is σ = 2046275675136. Its totient is φ = 66886041600.

The previous prime is 382857995519. The next prime is 382857995521. The reversal of 382857995520 is 25599758283.

382857995520 is a `hidden beast` number, since 3 + 8 + 2 + 8 + 5 + 79 + 9 + 552 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (382857995519) and next prime (382857995521).

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382857995521) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 12350257905 + ... + 12350257935.

Almost surely, 2^382857995520 is an apocalyptic number.

382857995520 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 382857995520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023137837568).

382857995520 is an abundant number, since it is smaller than the sum of its proper divisors (1663417679616).

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

382857995520 is a wasteful number, since it uses less digits than its factorization.

382857995520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 382857995520 in words is "three hundred eighty-two billion, eight hundred fifty-seven million, nine hundred ninety-five thousand, five hundred twenty".