48998844518400 has 1560 divisors, whose sum is σ = 218354915254080. Its totient is φ = 10610037227520.

The previous prime is 48998844518387. The next prime is 48998844518411. The reversal of 48998844518400 is 481544889984.

48998844518400 is a `hidden beast` number, since 4 + 8 + 9 + 98 + 8 + 4 + 451 + 84 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 119 ways as a sum of consecutive naturals, for example, 1103132992 + ... + 1103177408.

Almost surely, 2^{48998844518400} is an apocalyptic number.

48998844518400 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 48998844518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109177457627040).

48998844518400 is an abundant number, since it is smaller than the sum of its proper divisors (169356070735680).

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

48998844518400 is a wasteful number, since it uses less digits than its factorization.

48998844518400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44489 (or 44453 counting only the distinct ones).

The product of its (nonzero) digits is 424673280, while the sum is 72.

The spelling of 48998844518400 in words is "forty-eight trillion, nine hundred ninety-eight billion, eight hundred forty-four million, five hundred eighteen thousand, four hundred".