380148802475520 has 480 divisors, whose sum is σ = 1320195759277824. Its totient is φ = 93274106265600.

The previous prime is 380148802475513. The next prime is 380148802475527. The reversal of 380148802475520 is 25574208841083.

It is an interprime number because it is at equal distance from previous prime (380148802475513) and next prime (380148802475527).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×380148802475520³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380148802475527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 403182235 + ... + 404124005.

Almost surely, 2^{380148802475520} is an apocalyptic number.

380148802475520 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 380148802475520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660097879638912).

380148802475520 is an abundant number, since it is smaller than the sum of its proper divisors (940046956802304).

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

380148802475520 is a wasteful number, since it uses less digits than its factorization.

380148802475520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942134 (or 942105 counting only the distinct ones).

The product of its (nonzero) digits is 17203200, while the sum is 57.

The spelling of 380148802475520 in words is "three hundred eighty trillion, one hundred forty-eight billion, eight hundred two million, four hundred seventy-five thousand, five hundred twenty".