48207852000 has 2304 divisors, whose sum is σ = 240929095680. Its totient is φ = 9123840000.

The previous prime is 48207851999. The next prime is 48207852067. The reversal of 48207852000 is 25870284.

It is a happy number.

48207852000 is a `hidden beast` number, since 48 + 20 + 78 + 520 + 0 + 0 = 666.

48207852000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1555091985 + ... + 1555092015.

It is an arithmetic number, because the mean of its divisors is an integer number (104569920).

Almost surely, 2^48207852000 is an apocalyptic number.

48207852000 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 48207852000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120464547840).

48207852000 is an abundant number, since it is smaller than the sum of its proper divisors (192721243680).

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

48207852000 is a wasteful number, since it uses less digits than its factorization.

48207852000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 48207852000 in words is "forty-eight billion, two hundred seven million, eight hundred fifty-two thousand".