48106528915200 has 864 divisors, whose sum is σ = 187749458265600. Its totient is φ = 10619273871360.

The previous prime is 48106528915189. The next prime is 48106528915213. The reversal of 48106528915200 is 251982560184.

It is a super-3 number, since 3×48106528915200³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 514302036 + ... + 514395564.

Almost surely, 2^{48106528915200} is an apocalyptic number.

48106528915200 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 48106528915200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93874729132800).

48106528915200 is an abundant number, since it is smaller than the sum of its proper divisors (139642929350400).

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

48106528915200 is a wasteful number, since it uses less digits than its factorization.

48106528915200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93697 (or 93678 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 51.

The spelling of 48106528915200 in words is "forty-eight trillion, one hundred six billion, five hundred twenty-eight million, nine hundred fifteen thousand, two hundred".