48872678400 has 1980 divisors, whose sum is σ = 232836678228. Its totient is φ = 10032906240.

The previous prime is 48872678377. The next prime is 48872678401. The reversal of 48872678400 is 487627884.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 585252864 + 48287425536 = 24192^2 + 219744^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (48872678401) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1320883182 + ... + 1320883218.

Almost surely, 2^48872678400 is an apocalyptic number.

48872678400 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 48872678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116418339114).

48872678400 is an abundant number, since it is smaller than the sum of its proper divisors (183963999828).

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

48872678400 is a wasteful number, since it uses less digits than its factorization.

48872678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 48872678400 in words is "forty-eight billion, eight hundred seventy-two million, six hundred seventy-eight thousand, four hundred".