48211418670800 has 240 divisors, whose sum is σ = 144870251079552. Its totient is φ = 14978923315200.

The previous prime is 48211418670797. The next prime is 48211418670829. The reversal of 48211418670800 is 807681411284.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7139912 + ... + 12140888.

Almost surely, 2^{48211418670800} is an apocalyptic number.

48211418670800 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 48211418670800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72435125539776).

48211418670800 is an abundant number, since it is smaller than the sum of its proper divisors (96658832408752).

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

48211418670800 is a wasteful number, since it uses less digits than its factorization.

48211418670800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5001326 (or 5001315 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 50.

The spelling of 48211418670800 in words is "forty-eight trillion, two hundred eleven billion, four hundred eighteen million, six hundred seventy thousand, eight hundred".