48993177600 has 234 divisors, whose sum is σ = 175486326626. Its totient is φ = 13064601600.

The previous prime is 48993177547. The next prime is 48993177641. The reversal of 48993177600 is 677139984.

It is a happy number.

48993177600 is a `hidden beast` number, since 489 + 9 + 31 + 77 + 60 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5435817984 + 43557359616 = 73728^2 + 208704^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 895020 + ... + 948180.

Almost surely, 2^48993177600 is an apocalyptic number.

48993177600 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 48993177600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87743163313).

48993177600 is an abundant number, since it is smaller than the sum of its proper divisors (126493149026).

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

48993177600 is a wasteful number, since it uses less digits than its factorization.

48993177600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53201 (or 53171 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 48993177600 in words is "forty-eight billion, nine hundred ninety-three million, one hundred seventy-seven thousand, six hundred".