49642555276800 has 2400 divisors, whose sum is σ = 205908683143680. Its totient is φ = 11738500300800.

The previous prime is 49642555276751. The next prime is 49642555276813. The reversal of 49642555276800 is 867255524694.

49642555276800 is a `hidden beast` number, since 4 + 9 + 6 + 4 + 2 + 5 + 552 + 76 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 90754214127 + ... + 90754214673.

Almost surely, 2^{49642555276800} is an apocalyptic number.

49642555276800 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 49642555276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102954341571840).

49642555276800 is an abundant number, since it is smaller than the sum of its proper divisors (156266127866880).

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

49642555276800 is a wasteful number, since it uses less digits than its factorization.

49642555276800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 49642555276800 in words is "forty-nine trillion, six hundred forty-two billion, five hundred fifty-five million, two hundred seventy-six thousand, eight hundred".