47211465127050 has 288 divisors, whose sum is σ = 146477356242048. Its totient is φ = 10678931343360.

The previous prime is 47211465127031. The next prime is 47211465127087. The reversal of 47211465127050 is 5072156411274.

47211465127050 is a `hidden beast` number, since 4 + 7 + 2 + 1 + 14 + 6 + 512 + 70 + 50 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 47211465126987 and 47211465127005.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 119436534 + ... + 119831166.

It is an arithmetic number, because the mean of its divisors is an integer number (508601931396).

Almost surely, 2^{47211465127050} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47211465127050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73238678121024).

47211465127050 is an abundant number, since it is smaller than the sum of its proper divisors (99265891114998).

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

47211465127050 is a wasteful number, since it uses less digits than its factorization.

47211465127050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395054 (or 395046 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 47211465127050 in words is "forty-seven trillion, two hundred eleven billion, four hundred sixty-five million, one hundred twenty-seven thousand, fifty".