47516958720 has 1440 divisors, whose sum is σ = 219841929216. Its totient is φ = 9555148800.

The previous prime is 47516958707. The next prime is 47516958743. The reversal of 47516958720 is 2785961574.

47516958720 is a `hidden beast` number, since 4 + 7 + 51 + 6 + 9 + 587 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×47516958720² (a number of 22 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 1532805105 + ... + 1532805135.

Almost surely, 2^47516958720 is an apocalyptic number.

47516958720 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 47516958720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109920964608).

47516958720 is an abundant number, since it is smaller than the sum of its proper divisors (172324970496).

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

47516958720 is an equidigital number, since it uses as much as digits as its factorization.

47516958720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 47516958720 in words is "forty-seven billion, five hundred sixteen million, nine hundred fifty-eight thousand, seven hundred twenty".