49989206534400 has 648 divisors, whose sum is σ = 206715545400000. Its totient is φ = 11288432885760.

The previous prime is 49989206534353. The next prime is 49989206534419. The reversal of 49989206534400 is 443560298994.

49989206534400 is a `hidden beast` number, since 4 + 9 + 9 + 8 + 92 + 0 + 6 + 534 + 4 + 0 + 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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32718726 + ... + 34212474.

Almost surely, 2^{49989206534400} is an apocalyptic number.

49989206534400 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 49989206534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103357772700000).

49989206534400 is an abundant number, since it is smaller than the sum of its proper divisors (156726338865600).

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

49989206534400 is a wasteful number, since it uses less digits than its factorization.

49989206534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493871 (or 1493849 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 49989206534400 in words is "forty-nine trillion, nine hundred eighty-nine billion, two hundred six million, five hundred thirty-four thousand, four hundred".