48570278400 has 960 divisors, whose sum is σ = 215912252160. Its totient is φ = 10439884800.

The previous prime is 48570278321. The next prime is 48570278401. The reversal of 48570278400 is 487207584.

48570278400 is a `hidden beast` number, since 4 + 8 + 570 + 2 + 78 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is not an unprimeable number, because it can be changed into a prime (48570278401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41125810 + ... + 41126990.

It is an arithmetic number, because the mean of its divisors is an integer number (224908596).

Almost surely, 2^48570278400 is an apocalyptic number.

48570278400 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 48570278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107956126080).

48570278400 is an abundant number, since it is smaller than the sum of its proper divisors (167341973760).

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

48570278400 is a wasteful number, since it uses less digits than its factorization.

48570278400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 48570278400 in words is "forty-eight billion, five hundred seventy million, two hundred seventy-eight thousand, four hundred".