48778687776 has 576 divisors, whose sum is σ = 169885900800. Its totient is φ = 12121933824.

The previous prime is 48778687733. The next prime is 48778687777. The reversal of 48778687776 is 67778687784.

It is a super-2 number, since 2×48778687776² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 48778687698 and 48778687707.

It is not an unprimeable number, because it can be changed into a prime (48778687777) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111112965 + ... + 111113403.

It is an arithmetic number, because the mean of its divisors is an integer number (294940800).

Almost surely, 2^48778687776 is an apocalyptic number.

48778687776 is a gapful number since it is divisible by the number (46) 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 48778687776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84942950400).

48778687776 is an abundant number, since it is smaller than the sum of its proper divisors (121107213024).

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

48778687776 is a wasteful number, since it uses less digits than its factorization.

48778687776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 566 counting only the distinct ones).

The product of its digits is 1239146496, while the sum is 75.

The spelling of 48778687776 in words is "forty-eight billion, seven hundred seventy-eight million, six hundred eighty-seven thousand, seven hundred seventy-six".