49393332172800 has 3888 divisors, whose sum is σ = 229698482340600. Its totient is φ = 10105159680000.

The previous prime is 49393332172777. The next prime is 49393332172801. The reversal of 49393332172800 is 827123339394.

49393332172800 is a `hidden beast` number, since 4 + 9 + 3 + 9 + 33 + 321 + 7 + 280 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49393332172801) by changing a digit.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 275940403111 + ... + 275940403289.

Almost surely, 2^{49393332172800} is an apocalyptic number.

49393332172800 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 49393332172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114849241170300).

49393332172800 is an abundant number, since it is smaller than the sum of its proper divisors (180305150167800).

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

49393332172800 is a wasteful number, since it uses less digits than its factorization.

49393332172800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 49393332172800 in words is "forty-nine trillion, three hundred ninety-three billion, three hundred thirty-two million, one hundred seventy-two thousand, eight hundred".