48372940800 has 528 divisors, whose sum is σ = 179943578205. Its totient is φ = 12899450880.

The previous prime is 48372940799. The next prime is 48372940801. The reversal of 48372940800 is 804927384.

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 is a Jordan-Polya number, since it can be written as (6!)² ⋅ (3!)⁶ ⋅ 2!.

48372940800 is a `hidden beast` number, since 483 + 7 + 2 + 94 + 0 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48372940799) and next prime (48372940801).

It can be written as a sum of positive squares in 2 ways, for example, as 47405481984 + 967458816 = 217728^2 + 31104^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=155520.

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 (48372940801) by changing a digit.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 9674588158 + ... + 9674588162.

Almost surely, 2^48372940800 is an apocalyptic number.

48372940800 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 48372940800

48372940800 is an abundant number, since it is smaller than the sum of its proper divisors (131570637405).

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

48372940800 is an frugal number, since it uses more digits than its factorization.

48372940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

Multiplying 48372940800 by its sum of digits (45), we get a cube (2176782336000 = 12960³).

The spelling of 48372940800 in words is "forty-eight billion, three hundred seventy-two million, nine hundred forty thousand, eight hundred".