48059827200 has 1980 divisors, whose sum is σ = 231086026512. Its totient is φ = 9754214400.

The previous prime is 48059827183. The next prime is 48059827201. The reversal of 48059827200 is 272895084.

It is a tau number, because it is divible by the number of its divisors (1980).

It is a super-3 number, since 3×48059827200³ (a number of 33 digits) contains 333 as substring.

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 (48059827201) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1117670379 + ... + 1117670421.

Almost surely, 2^48059827200 is an apocalyptic number.

48059827200 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 48059827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115543013256).

48059827200 is an abundant number, since it is smaller than the sum of its proper divisors (183026199312).

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

48059827200 is a wasteful number, since it uses less digits than its factorization.

48059827200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 48059827200 in words is "forty-eight billion, fifty-nine million, eight hundred twenty-seven thousand, two hundred".