49303555084800 has 1440 divisors, whose sum is σ = 185569968190464. Its totient is φ = 12485394432000.

The previous prime is 49303555084787. The next prime is 49303555084837. The reversal of 49303555084800 is 848055530394.

49303555084800 is a `hidden beast` number, since 4 + 9 + 3 + 0 + 3 + 5 + 550 + 8 + 4 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 85448102112 + ... + 85448102688.

Almost surely, 2^{49303555084800} is an apocalyptic number.

49303555084800 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 49303555084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92784984095232).

49303555084800 is an abundant number, since it is smaller than the sum of its proper divisors (136266413105664).

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

49303555084800 is a wasteful number, since it uses less digits than its factorization.

49303555084800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 49303555084800 in words is "forty-nine trillion, three hundred three billion, five hundred fifty-five million, eighty-four thousand, eight hundred".