48319957670400 has 2880 divisors, whose sum is σ = 207351386161920. Its totient is φ = 10624853606400.

The previous prime is 48319957670363. The next prime is 48319957670431. The reversal of 48319957670400 is 407675991384.

48319957670400 is a `hidden beast` number, since 4 + 8 + 3 + 1 + 9 + 95 + 76 + 70 + 400 = 666.

48319957670400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2880).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 104815526170 + ... + 104815526630.

It is an arithmetic number, because the mean of its divisors is an integer number (71997009084).

Almost surely, 2^{48319957670400} is an apocalyptic number.

48319957670400 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 48319957670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103675693080960).

48319957670400 is an abundant number, since it is smaller than the sum of its proper divisors (159031428491520).

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

48319957670400 is a wasteful number, since it uses less digits than its factorization.

48319957670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 48319957670400 in words is "forty-eight trillion, three hundred nineteen billion, nine hundred fifty-seven million, six hundred seventy thousand, four hundred".