48252388953600 has 3600 divisors, whose sum is σ = 208104585641568. Its totient is φ = 10997339258880.

The previous prime is 48252388953557. The next prime is 48252388953619. The reversal of 48252388953600 is 635988325284.

48252388953600 is a `hidden beast` number, since 48 + 2 + 52 + 3 + 8 + 8 + 9 + 536 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

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 359 ways as a sum of consecutive naturals, for example, 288936460717 + ... + 288936460883.

Almost surely, 2^{48252388953600} is an apocalyptic number.

48252388953600 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 48252388953600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104052292820784).

48252388953600 is an abundant number, since it is smaller than the sum of its proper divisors (159852196687968).

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

48252388953600 is a wasteful number, since it uses less digits than its factorization.

48252388953600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 48252388953600 in words is "forty-eight trillion, two hundred fifty-two billion, three hundred eighty-eight million, nine hundred fifty-three thousand, six hundred".