49958012987000 has 256 divisors, whose sum is σ = 122037566976000. Its totient is φ = 19142206876800.

The previous prime is 49958012986991. The next prime is 49958012987011. The reversal of 49958012987000 is 78921085994.

The cubic root of 49958012987000 is 36830.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 393370180937 + ... + 393370181063.

It is an arithmetic number, because the mean of its divisors is an integer number (476709246000).

Almost surely, 2^{49958012987000} is an apocalyptic number.

49958012987000 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 49958012987000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61018783488000).

49958012987000 is an abundant number, since it is smaller than the sum of its proper divisors (72079553989000).

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

49958012987000 is an frugal number, since it uses more digits than its factorization.

49958012987000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 62.

The spelling of 49958012987000 in words is "forty-nine trillion, nine hundred fifty-eight billion, twelve million, nine hundred eighty-seven thousand".