47533879003104 has 960 divisors, whose sum is σ = 159810884513280. Its totient is φ = 13757801840640.

The previous prime is 47533879003067. The next prime is 47533879003123. The reversal of 47533879003104 is 40130097833574.

47533879003104 is a `hidden beast` number, since 4 + 7 + 533 + 8 + 7 + 90 + 0 + 3 + 10 + 4 = 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 159 ways as a sum of consecutive naturals, for example, 6034511614 + ... + 6034519490.

It is an arithmetic number, because the mean of its divisors is an integer number (166469671368).

Almost surely, 2^{47533879003104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47533879003104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79905442256640).

47533879003104 is an abundant number, since it is smaller than the sum of its proper divisors (112277005510176).

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

47533879003104 is a wasteful number, since it uses less digits than its factorization.

47533879003104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8105 (or 8088 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 47533879003104 in words is "forty-seven trillion, five hundred thirty-three billion, eight hundred seventy-nine million, three thousand, one hundred four".