48810081600 has 840 divisors, whose sum is σ = 206892436608. Its totient is φ = 11056435200.

The previous prime is 48810081599. The next prime is 48810081601. The reversal of 48810081600 is 618001884.

48810081600 is a `hidden beast` number, since 48 + 8 + 1 + 0 + 0 + 8 + 1 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (48810081599) and next prime (48810081601).

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48810081601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 156945445 + ... + 156945755.

Almost surely, 2^48810081600 is an apocalyptic number.

48810081600 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 48810081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103446218304).

48810081600 is an abundant number, since it is smaller than the sum of its proper divisors (158082355008).

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

48810081600 is a wasteful number, since it uses less digits than its factorization.

48810081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 48810081600 in words is "forty-eight billion, eight hundred ten million, eighty-one thousand, six hundred".