48745072080 has 480 divisors, whose sum is σ = 181210901760. Its totient is φ = 12020659200.

The previous prime is 48745072069. The next prime is 48745072087. The reversal of 48745072080 is 8027054784.

48745072080 is a `hidden beast` number, since 48 + 7 + 4 + 507 + 20 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48745072087) 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 95 ways as a sum of consecutive naturals, for example, 47741970 + ... + 47742990.

It is an arithmetic number, because the mean of its divisors is an integer number (377522712).

Almost surely, 2^48745072080 is an apocalyptic number.

48745072080 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 48745072080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90605450880).

48745072080 is an abundant number, since it is smaller than the sum of its proper divisors (132465829680).

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

48745072080 is a wasteful number, since it uses less digits than its factorization.

48745072080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 48745072080 in words is "forty-eight billion, seven hundred forty-five million, seventy-two thousand, eighty".