375825106800 has 720 divisors, whose sum is σ = 1580234572800. Its totient is φ = 84096230400.

The previous prime is 375825106799. The next prime is 375825106817. The reversal of 375825106800 is 8601528573.

375825106800 is a `hidden beast` number, since 3 + 7 + 58 + 2 + 510 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20067841 + ... + 20086559.

It is an arithmetic number, because the mean of its divisors is an integer number (2194770240).

Almost surely, 2^375825106800 is an apocalyptic number.

375825106800 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 375825106800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790117286400).

375825106800 is an abundant number, since it is smaller than the sum of its proper divisors (1204409466000).

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

375825106800 is a wasteful number, since it uses less digits than its factorization.

375825106800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18783 (or 18753 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 375825106800 in words is "three hundred seventy-five billion, eight hundred twenty-five million, one hundred six thousand, eight hundred".