47750145381120 has 4608 divisors, whose sum is σ = 214210676736000. Its totient is φ = 8972836798464.

The previous prime is 47750145381073. The next prime is 47750145381139. The reversal of 47750145381120 is 2118354105774.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 47750145381120.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 422567658184 + ... + 422567658296.

It is an arithmetic number, because the mean of its divisors is an integer number (46486692000).

Almost surely, 2^{47750145381120} is an apocalyptic number.

47750145381120 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 47750145381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107105338368000).

47750145381120 is an abundant number, since it is smaller than the sum of its proper divisors (166460531354880).

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

47750145381120 is a wasteful number, since it uses less digits than its factorization.

47750145381120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 48.

Adding to 47750145381120 its reverse (2118354105774), we get a palindrome (49868499486894).

The spelling of 47750145381120 in words is "forty-seven trillion, seven hundred fifty billion, one hundred forty-five million, three hundred eighty-one thousand, one hundred twenty".