48999517056000 has 1056 divisors, whose sum is σ = 210669068376000. Its totient is φ = 11199850905600.

The previous prime is 48999517055969. The next prime is 48999517056041. The reversal of 48999517056000 is 65071599984.

48999517056000 is a `hidden beast` number, since 4 + 8 + 9 + 9 + 9 + 5 + 17 + 0 + 5 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 169199326 + ... + 169488674.

Almost surely, 2^{48999517056000} is an apocalyptic number.

48999517056000 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 48999517056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105334534188000).

48999517056000 is an abundant number, since it is smaller than the sum of its proper divisors (161669551320000).

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

48999517056000 is a wasteful number, since it uses less digits than its factorization.

48999517056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289407 (or 289366 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 63.

The spelling of 48999517056000 in words is "forty-eight trillion, nine hundred ninety-nine billion, five hundred seventeen million, fifty-six thousand".