48520772974080 has 480 divisors, whose sum is σ = 191287896433920. Its totient is φ = 11251192381440.

The previous prime is 48520772974043. The next prime is 48520772974099. The reversal of 48520772974080 is 8047927702584.

48520772974080 is a `hidden beast` number, since 4 + 8 + 520 + 7 + 7 + 29 + 7 + 4 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 48520772973999 and 48520772974017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1667191 + ... + 9991049.

It is an arithmetic number, because the mean of its divisors is an integer number (398516450904).

Almost surely, 2^{48520772974080} is an apocalyptic number.

48520772974080 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 48520772974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95643948216960).

48520772974080 is an abundant number, since it is smaller than the sum of its proper divisors (142767123459840).

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

48520772974080 is a wasteful number, since it uses less digits than its factorization.

48520772974080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8323922 (or 8323903 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 48520772974080 in words is "forty-eight trillion, five hundred twenty billion, seven hundred seventy-two million, nine hundred seventy-four thousand, eighty".