48653589600 has 1440 divisors, whose sum is σ = 226860480000. Its totient is φ = 10059033600.

The previous prime is 48653589587. The next prime is 48653589601. The reversal of 48653589600 is 698535684.

It is a happy number.

48653589600 is a `hidden beast` number, since 4 + 8 + 6 + 53 + 589 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48653589601) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 244490301 + ... + 244490499.

It is an arithmetic number, because the mean of its divisors is an integer number (157542000).

Almost surely, 2^48653589600 is an apocalyptic number.

48653589600 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 48653589600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113430240000).

48653589600 is an abundant number, since it is smaller than the sum of its proper divisors (178206890400).

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

48653589600 is a wasteful number, since it uses less digits than its factorization.

48653589600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 48653589600 in words is "forty-eight billion, six hundred fifty-three million, five hundred eighty-nine thousand, six hundred".