48020163282000 has 2400 divisors, whose sum is σ = 215585738843904. Its totient is φ = 10087773696000.

The previous prime is 48020163281989. The next prime is 48020163282001. The reversal of 48020163282000 is 28236102084.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48020163282001) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 63434825622 + ... + 63434826378.

Almost surely, 2^{48020163282000} is an apocalyptic number.

48020163282000 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 48020163282000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107792869421952).

48020163282000 is an abundant number, since it is smaller than the sum of its proper divisors (167565575561904).

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

48020163282000 is a wasteful number, since it uses less digits than its factorization.

48020163282000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 48020163282000 its reverse (28236102084), we get a palindrome (48048399384084).

The spelling of 48020163282000 in words is "forty-eight trillion, twenty billion, one hundred sixty-three million, two hundred eighty-two thousand".