48936520089600 has 1536 divisors, whose sum is σ = 201310635294720. Its totient is φ = 10305404928000.

The previous prime is 48936520089599. The next prime is 48936520089629. The reversal of 48936520089600 is 698002563984.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (60).

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 95 ways as a sum of consecutive naturals, for example, 5974421505 + ... + 5974429695.

It is an arithmetic number, because the mean of its divisors is an integer number (131061611520).

Almost surely, 2^{48936520089600} is an apocalyptic number.

48936520089600 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 48936520089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100655317647360).

48936520089600 is an abundant number, since it is smaller than the sum of its proper divisors (152374115205120).

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

48936520089600 is a wasteful number, since it uses less digits than its factorization.

48936520089600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8275 (or 8242 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 60.

The spelling of 48936520089600 in words is "forty-eight trillion, nine hundred thirty-six billion, five hundred twenty million, eighty-nine thousand, six hundred".