48032582616000 has 1344 divisors, whose sum is σ = 182960364787200. Its totient is φ = 11994697728000.

The previous prime is 48032582615977. The next prime is 48032582616041. The reversal of 48032582616000 is 61628523084.

48032582616000 is a `hidden beast` number, since 4 + 8 + 0 + 3 + 2 + 582 + 6 + 1 + 60 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 77597063691 + ... + 77597064309.

It is an arithmetic number, because the mean of its divisors is an integer number (136131223800).

Almost surely, 2^{48032582616000} is an apocalyptic number.

48032582616000 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 48032582616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91480182393600).

48032582616000 is an abundant number, since it is smaller than the sum of its proper divisors (134927782171200).

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

48032582616000 is a wasteful number, since it uses less digits than its factorization.

48032582616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 48032582616000 in words is "forty-eight trillion, thirty-two billion, five hundred eighty-two million, six hundred sixteen thousand".