380956825080 has 896 divisors, whose sum is σ = 1436321617920. Its totient is φ = 90296156160.

The previous prime is 380956825069. The next prime is 380956825091. The reversal of 380956825080 is 80528659083.

380956825080 is a `hidden beast` number, since 3 + 8 + 0 + 9 + 56 + 82 + 508 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (380956825069) and next prime (380956825091).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1973869464 + ... + 1973869656.

It is an arithmetic number, because the mean of its divisors is an integer number (1603037520).

Almost surely, 2^380956825080 is an apocalyptic number.

380956825080 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 380956825080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718160808960).

380956825080 is an abundant number, since it is smaller than the sum of its proper divisors (1055364792840).

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

380956825080 is a wasteful number, since it uses less digits than its factorization.

380956825080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 380956825080 in words is "three hundred eighty billion, nine hundred fifty-six million, eight hundred twenty-five thousand, eighty".