48207921638400 has 3168 divisors, whose sum is σ = 198682750156800. Its totient is φ = 11534258995200.

The previous prime is 48207921638323. The next prime is 48207921638413. The reversal of 48207921638400 is 483612970284.

48207921638400 is a `hidden beast` number, since 4 + 8 + 2 + 0 + 79 + 2 + 163 + 8 + 400 = 666.

It is a super-3 number, since 3×48207921638400³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 216179020689 + ... + 216179020911.

Almost surely, 2^{48207921638400} is an apocalyptic number.

48207921638400 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 48207921638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99341375078400).

48207921638400 is an abundant number, since it is smaller than the sum of its proper divisors (150474828518400).

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

48207921638400 is a wasteful number, since it uses less digits than its factorization.

48207921638400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 48207921638400 in words is "forty-eight trillion, two hundred seven billion, nine hundred twenty-one million, six hundred thirty-eight thousand, four hundred".