48536242596000 has 288 divisors, whose sum is σ = 181321186737600. Its totient is φ = 12261787430400.

The previous prime is 48536242595969. The next prime is 48536242596001. The reversal of 48536242596000 is 69524263584.

48536242596000 is a `hidden beast` number, since 4 + 8 + 5 + 3 + 6 + 2 + 4 + 25 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (48536242596001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34795710 + ... + 36163709.

It is an arithmetic number, because the mean of its divisors is an integer number (629587453950).

Almost surely, 2^{48536242596000} is an apocalyptic number.

48536242596000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48536242596000 is an abundant number, since it is smaller than the sum of its proper divisors (132784944141600).

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

48536242596000 is a wasteful number, since it uses less digits than its factorization.

48536242596000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70959469 (or 70959448 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 48536242596000 in words is "forty-eight trillion, five hundred thirty-six billion, two hundred forty-two million, five hundred ninety-six thousand".