47125557198720 has 5120 divisors, whose sum is σ = 234997894656000. Its totient is φ = 8846747320320.

The previous prime is 47125557198719. The next prime is 47125557198749. The reversal of 47125557198720 is 2789175552174.

47125557198720 is a `hidden beast` number, since 4 + 7 + 1 + 2 + 5 + 557 + 1 + 9 + 8 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 1002671429737 + ... + 1002671429783.

It is an arithmetic number, because the mean of its divisors is an integer number (45898026300).

Almost surely, 2^{47125557198720} is an apocalyptic number.

47125557198720 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 47125557198720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117498947328000).

47125557198720 is an abundant number, since it is smaller than the sum of its proper divisors (187872337457280).

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

47125557198720 is an equidigital number, since it uses as much as digits as its factorization.

47125557198720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 49392000, while the sum is 63.

The spelling of 47125557198720 in words is "forty-seven trillion, one hundred twenty-five billion, five hundred fifty-seven million, one hundred ninety-eight thousand, seven hundred twenty".