48778560000 has 300 divisors, whose sum is σ = 175926858822. Its totient is φ = 13006848000.

The previous prime is 48778559981. The next prime is 48778560079. The reversal of 48778560000 is 6587784.

48778560000 is a `hidden beast` number, since 4 + 87 + 7 + 8 + 560 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 47114496 + 48731445504 = 6864^2 + 220752^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2871532 + ... + 2888468.

Almost surely, 2^48778560000 is an apocalyptic number.

48778560000 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 48778560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87963429411).

48778560000 is an abundant number, since it is smaller than the sum of its proper divisors (127148298822).

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

48778560000 is an equidigital number, since it uses as much as digits as its factorization.

48778560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16981 (or 16947 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 48778560000 in words is "forty-eight billion, seven hundred seventy-eight million, five hundred sixty thousand".