48374085760 has 1024 divisors, whose sum is σ = 167795712000. Its totient is φ = 13113999360.

The previous prime is 48374085743. The next prime is 48374085779. The reversal of 48374085760 is 6758047384.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 48374085698 and 48374085707.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 722001247 + ... + 722001313.

It is an arithmetic number, because the mean of its divisors is an integer number (163863000).

Almost surely, 2^48374085760 is an apocalyptic number.

48374085760 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 48374085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83897856000).

48374085760 is an abundant number, since it is smaller than the sum of its proper divisors (119421626240).

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

48374085760 is a wasteful number, since it uses less digits than its factorization.

48374085760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 52.

It can be divided in two parts, 483740 and 85760, that multiplied together give a square (41485542400 = 203680²).

The spelling of 48374085760 in words is "forty-eight billion, three hundred seventy-four million, eighty-five thousand, seven hundred sixty".