48993562800 has 1440 divisors, whose sum is σ = 225665556480. Its totient is φ = 9928396800.

The previous prime is 48993562789. The next prime is 48993562823. The reversal of 48993562800 is 826539984.

48993562800 is a `hidden beast` number, since 4 + 8 + 9 + 9 + 3 + 5 + 628 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 287 ways as a sum of consecutive naturals, for example, 256510705 + ... + 256510895.

It is an arithmetic number, because the mean of its divisors is an integer number (156712192).

Almost surely, 2^48993562800 is an apocalyptic number.

48993562800 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 48993562800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112832778240).

48993562800 is an abundant number, since it is smaller than the sum of its proper divisors (176671993680).

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

48993562800 is a wasteful number, since it uses less digits than its factorization.

48993562800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 48993562800 in words is "forty-eight billion, nine hundred ninety-three million, five hundred sixty-two thousand, eight hundred".