48344025600 has 720 divisors, whose sum is σ = 196240044000. Its totient is φ = 11267112960.

The previous prime is 48344025577. The next prime is 48344025601. The reversal of 48344025600 is 652044384.

48344025600 is a `hidden beast` number, since 4 + 8 + 3 + 4 + 40 + 2 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×48344025600² (a number of 22 digits) contains 22 as substring.

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 (48344025601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28453551 + ... + 28455249.

Almost surely, 2^48344025600 is an apocalyptic number.

48344025600 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 48344025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98120022000).

48344025600 is an abundant number, since it is smaller than the sum of its proper divisors (147896018400).

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

48344025600 is a wasteful number, since it uses less digits than its factorization.

48344025600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1765 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 48344025600 its reverse (652044384), we get a palindrome (48996069984).

The spelling of 48344025600 in words is "forty-eight billion, three hundred forty-four million, twenty-five thousand, six hundred".