48572211200 has 126 divisors (see below), whose sum is σ = 120699573561. Its totient is φ = 19388989440.

The previous prime is 48572211179. The next prime is 48572211209. The reversal of 48572211200 is 211227584.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 47600766976 + 971444224 = 218176^2 + 31168^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=155840.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48572211209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 99737357 + ... + 99737843.

Almost surely, 2^48572211200 is an apocalyptic number.

48572211200 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 48572211200

48572211200 is an abundant number, since it is smaller than the sum of its proper divisors (72127362361).

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

48572211200 is an frugal number, since it uses more digits than its factorization.

48572211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

Multiplying 48572211200 by its sum of digits (32), we get a square (1554310758400 = 1246720²).

48572211200 divided by its sum of digits (32) gives a square (1517881600 = 38960²).

Adding to 48572211200 its reverse (211227584), we get a palindrome (48783438784).

The spelling of 48572211200 in words is "forty-eight billion, five hundred seventy-two million, two hundred eleven thousand, two hundred".