48961578556800 has 5376 divisors, whose sum is σ = 239989223040000. Its totient is φ = 9577842278400.

The previous prime is 48961578556763. The next prime is 48961578556837. The reversal of 48961578556800 is 865587516984.

48961578556800 is a `hidden beast` number, since 4 + 8 + 9 + 6 + 1 + 57 + 8 + 5 + 568 + 0 + 0 = 666.

48961578556800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48961578556763) and next prime (48961578556837).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 671 ways as a sum of consecutive naturals, for example, 246038083101 + ... + 246038083299.

It is an arithmetic number, because the mean of its divisors is an integer number (44640852500).

Almost surely, 2^{48961578556800} is an apocalyptic number.

48961578556800 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 48961578556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119994611520000).

48961578556800 is an abundant number, since it is smaller than the sum of its proper divisors (191027644483200).

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

48961578556800 is a wasteful number, since it uses less digits than its factorization.

48961578556800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 580608000, while the sum is 72.

The spelling of 48961578556800 in words is "forty-eight trillion, nine hundred sixty-one billion, five hundred seventy-eight million, five hundred fifty-six thousand, eight hundred".