48395786400 has 648 divisors, whose sum is σ = 190902531456. Its totient is φ = 11519539200.

The previous prime is 48395786393. The next prime is 48395786423. The reversal of 48395786400 is 468759384.

48395786400 is a `hidden beast` number, since 4 + 8 + 3 + 9 + 578 + 64 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 37720159 + ... + 37721441.

It is an arithmetic number, because the mean of its divisors is an integer number (294602672).

Almost surely, 2^48395786400 is an apocalyptic number.

48395786400 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 48395786400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95451265728).

48395786400 is an abundant number, since it is smaller than the sum of its proper divisors (142506745056).

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

48395786400 is a wasteful number, since it uses less digits than its factorization.

48395786400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 48395786400 in words is "forty-eight billion, three hundred ninety-five million, seven hundred eighty-six thousand, four hundred".