49218670800 has 360 divisors, whose sum is σ = 184346708000. Its totient is φ = 12088673280.

The previous prime is 49218670777. The next prime is 49218670817. The reversal of 49218670800 is 807681294.

49218670800 is a `hidden beast` number, since 492 + 1 + 86 + 7 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28968351 + ... + 28970049.

Almost surely, 2^49218670800 is an apocalyptic number.

49218670800 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 49218670800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92173354000).

49218670800 is an abundant number, since it is smaller than the sum of its proper divisors (135128037200).

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

49218670800 is a wasteful number, since it uses less digits than its factorization.

49218670800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355 (or 2341 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 49218670800 in words is "forty-nine billion, two hundred eighteen million, six hundred seventy thousand, eight hundred".