47315533104000 has 3072 divisors, whose sum is σ = 217805798246400. Its totient is φ = 9964825804800.

The previous prime is 47315533103953. The next prime is 47315533104031. The reversal of 47315533104000 is 40133551374.

47315533104000 is a `hidden beast` number, since 4 + 7 + 3 + 15 + 533 + 104 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 19132846764 + ... + 19132849236.

It is an arithmetic number, because the mean of its divisors is an integer number (70900324950).

Almost surely, 2^{47315533104000} is an apocalyptic number.

47315533104000 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 47315533104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108902899123200).

47315533104000 is an abundant number, since it is smaller than the sum of its proper divisors (170490265142400).

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

47315533104000 is a wasteful number, since it uses less digits than its factorization.

47315533104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2580 (or 2546 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

Adding to 47315533104000 its reverse (40133551374), we get a palindrome (47355666655374).

The spelling of 47315533104000 in words is "forty-seven trillion, three hundred fifteen billion, five hundred thirty-three million, one hundred four thousand".