47516026671360 has 1152 divisors, whose sum is σ = 188953398466560. Its totient is φ = 11231143133184.

The previous prime is 47516026671359. The next prime is 47516026671389. The reversal of 47516026671360 is 6317662061574.

47516026671360 is a `hidden beast` number, since 4 + 7 + 5 + 16 + 0 + 266 + 7 + 1 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 47516026671297 and 47516026671306.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1119135252 + ... + 1119177708.

It is an arithmetic number, because the mean of its divisors is an integer number (164022047280).

Almost surely, 2^{47516026671360} is an apocalyptic number.

47516026671360 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 47516026671360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94476699233280).

47516026671360 is an abundant number, since it is smaller than the sum of its proper divisors (141437371795200).

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

47516026671360 is a wasteful number, since it uses less digits than its factorization.

47516026671360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42600 (or 42580 counting only the distinct ones).

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

The spelling of 47516026671360 in words is "forty-seven trillion, five hundred sixteen billion, twenty-six million, six hundred seventy-one thousand, three hundred sixty".