48318532953600 has 1920 divisors, whose sum is σ = 200519035960320. Its totient is φ = 9985130496000.

The previous prime is 48318532953577. The next prime is 48318532953617. The reversal of 48318532953600 is 635923581384.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-3 number, since 3×48318532953600³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 89313369330 + ... + 89313369870.

It is an arithmetic number, because the mean of its divisors is an integer number (104436997896).

Almost surely, 2^{48318532953600} is an apocalyptic number.

48318532953600 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 48318532953600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100259517980160).

48318532953600 is an abundant number, since it is smaller than the sum of its proper divisors (152200503006720).

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

48318532953600 is a wasteful number, since it uses less digits than its factorization.

48318532953600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 57.

The spelling of 48318532953600 in words is "forty-eight trillion, three hundred eighteen billion, five hundred thirty-two million, nine hundred fifty-three thousand, six hundred".