47623737585120 has 384 divisors, whose sum is σ = 163102088540160. Its totient is φ = 11636160675840.

The previous prime is 47623737585119. The next prime is 47623737585131. The reversal of 47623737585120 is 2158573732674.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 478595212 + ... + 478694708.

It is an arithmetic number, because the mean of its divisors is an integer number (424745022240).

Almost surely, 2^{47623737585120} is an apocalyptic number.

47623737585120 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 47623737585120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81551044270080).

47623737585120 is an abundant number, since it is smaller than the sum of its proper divisors (115478350955040).

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

47623737585120 is a wasteful number, since it uses less digits than its factorization.

47623737585120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101258 (or 101250 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 60.

The spelling of 47623737585120 in words is "forty-seven trillion, six hundred twenty-three billion, seven hundred thirty-seven million, five hundred eighty-five thousand, one hundred twenty".