48878060776776 has 1344 divisors, whose sum is σ = 179053672089600. Its totient is φ = 12356836934400.

The previous prime is 48878060776723. The next prime is 48878060776799. The reversal of 48878060776776 is 67767706087884.

48878060776776 is a `hidden beast` number, since 488 + 7 + 8 + 0 + 6 + 0 + 7 + 7 + 67 + 76 = 666.

48878060776776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 48878060776695 and 48878060776704.

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 335 ways as a sum of consecutive naturals, for example, 58257521365 + ... + 58257522203.

It is an arithmetic number, because the mean of its divisors is an integer number (133224458400).

Almost surely, 2^{48878060776776} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48878060776776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89526836044800).

48878060776776 is an abundant number, since it is smaller than the sum of its proper divisors (130175611312824).

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

48878060776776 is a wasteful number, since it uses less digits than its factorization.

48878060776776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 7434878976, while the sum is 81.

The spelling of 48878060776776 in words is "forty-eight trillion, eight hundred seventy-eight billion, sixty million, seven hundred seventy-six thousand, seven hundred seventy-six".