48172420800 has 1008 divisors, whose sum is σ = 203767529472. Its totient is φ = 10567065600.

The previous prime is 48172420799. The next prime is 48172420801. The reversal of 48172420800 is 802427184.

48172420800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48172420799) and next prime (48172420801).

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is not an unprimeable number, because it can be changed into a prime (48172420801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 379310337 + ... + 379310463.

Almost surely, 2^48172420800 is an apocalyptic number.

48172420800 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 48172420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101883764736).

48172420800 is an abundant number, since it is smaller than the sum of its proper divisors (155595108672).

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

48172420800 is a wasteful number, since it uses less digits than its factorization.

48172420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

Adding to 48172420800 its reverse (802427184), we get a palindrome (48974847984).

The spelling of 48172420800 in words is "forty-eight billion, one hundred seventy-two million, four hundred twenty thousand, eight hundred".