48893770800 has 600 divisors, whose sum is σ = 201763349216. Its totient is φ = 11107860480.

The previous prime is 48893770799. The next prime is 48893770801. The reversal of 48893770800 is 807739884.

48893770800 is a `hidden beast` number, since 488 + 93 + 7 + 70 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48893770799) and next prime (48893770801).

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (48893770801) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 43771842 + ... + 43772958.

Almost surely, 2^48893770800 is an apocalyptic number.

48893770800 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 48893770800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100881674608).

48893770800 is an abundant number, since it is smaller than the sum of its proper divisors (152869578416).

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

48893770800 is a wasteful number, since it uses less digits than its factorization.

48893770800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 48893770800 in words is "forty-eight billion, eight hundred ninety-three million, seven hundred seventy thousand, eight hundred".