48056785920000 has 5040 divisors, whose sum is σ = 224222759061840. Its totient is φ = 10121379840000.

The previous prime is 48056785919993. The next prime is 48056785920079. The reversal of 48056785920000 is 2958765084.

48056785920000 is a `hidden beast` number, since 4 + 8 + 0 + 567 + 8 + 59 + 20 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2826869759992 + ... + 2826869760008.

It is an arithmetic number, because the mean of its divisors is an integer number (44488642671).

Almost surely, 2^{48056785920000} is an apocalyptic number.

48056785920000 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 48056785920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112111379530920).

48056785920000 is an abundant number, since it is smaller than the sum of its proper divisors (176165973141840).

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

48056785920000 is a wasteful number, since it uses less digits than its factorization.

48056785920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 48056785920000 in words is "forty-eight trillion, fifty-six billion, seven hundred eighty-five million, nine hundred twenty thousand".