49998717504000 has 640 divisors, whose sum is σ = 185307202080000. Its totient is φ = 13289561395200.

The previous prime is 49998717503983. The next prime is 49998717504013. The reversal of 49998717504000 is 40571789994.

The cubic root of 49998717504000 is 36840.

It is a perfect power (a cube), and thus also a powerful number.

49998717504000 is a `hidden beast` number, since 4 + 9 + 9 + 98 + 71 + 75 + 0 + 400 + 0 = 666.

49998717504000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 162862271847 + ... + 162862272153.

It is an arithmetic number, because the mean of its divisors is an integer number (289542503250).

Almost surely, 2^{49998717504000} is an apocalyptic number.

49998717504000 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 49998717504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92653601040000).

49998717504000 is an abundant number, since it is smaller than the sum of its proper divisors (135308484576000).

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

49998717504000 is an frugal number, since it uses more digits than its factorization.

49998717504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 49998717504000 in words is "forty-nine trillion, nine hundred ninety-eight billion, seven hundred seventeen million, five hundred four thousand".