48260167200 has 1152 divisors, whose sum is σ = 213286348800. Its totient is φ = 10286714880.

The previous prime is 48260167199. The next prime is 48260167211. The reversal of 48260167200 is 276106284.

48260167200 is a `hidden beast` number, since 48 + 2 + 601 + 6 + 7 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 191 ways as a sum of consecutive naturals, for example, 307389522 + ... + 307389678.

It is an arithmetic number, because the mean of its divisors is an integer number (185144400).

Almost surely, 2^48260167200 is an apocalyptic number.

48260167200 is a gapful number since it is divisible by the number (40) 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 48260167200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106643174400).

48260167200 is an abundant number, since it is smaller than the sum of its proper divisors (165026181600).

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

48260167200 is a wasteful number, since it uses less digits than its factorization.

48260167200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 48260167200 in words is "forty-eight billion, two hundred sixty million, one hundred sixty-seven thousand, two hundred".