49807612800 has 768 divisors, whose sum is σ = 201619238400. Its totient is φ = 12055910400.

The previous prime is 49807612753. The next prime is 49807612801. The reversal of 49807612800 is 821670894.

49807612800 is a `hidden beast` number, since 498 + 0 + 76 + 12 + 80 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49807612801) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 76982077 + ... + 76982723.

It is an arithmetic number, because the mean of its divisors is an integer number (262525050).

Almost surely, 2^49807612800 is an apocalyptic number.

49807612800 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 49807612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100809619200).

49807612800 is an abundant number, since it is smaller than the sum of its proper divisors (151811625600).

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

49807612800 is an equidigital number, since it uses as much as digits as its factorization.

49807612800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 668 counting only the distinct ones).

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

The spelling of 49807612800 in words is "forty-nine billion, eight hundred seven million, six hundred twelve thousand, eight hundred".