48507558642432 has 720 divisors, whose sum is σ = 155419509611520. Its totient is φ = 14994066898944.

The previous prime is 48507558642421. The next prime is 48507558642467. The reversal of 48507558642432 is 23424685570584.

48507558642432 is a `hidden beast` number, since 4 + 8 + 5 + 0 + 7 + 5 + 586 + 4 + 2 + 43 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 48507558642432.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6891253569 + ... + 6891260607.

It is an arithmetic number, because the mean of its divisors is an integer number (215860430016).

Almost surely, 2^{48507558642432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48507558642432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77709754805760).

48507558642432 is an abundant number, since it is smaller than the sum of its proper divisors (106911950969088).

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

48507558642432 is a wasteful number, since it uses less digits than its factorization.

48507558642432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7370 (or 7347 counting only the distinct ones).

The product of its (nonzero) digits is 258048000, while the sum is 63.

The spelling of 48507558642432 in words is "forty-eight trillion, five hundred seven billion, five hundred fifty-eight million, six hundred forty-two thousand, four hundred thirty-two".