47754115983360 has 1728 divisors, whose sum is σ = 193045598403840. Its totient is φ = 10857904865280.

The previous prime is 47754115983263. The next prime is 47754115983373. The reversal of 47754115983360 is 6338951145774.

47754115983360 is a `hidden beast` number, since 4 + 7 + 7 + 5 + 4 + 1 + 1 + 598 + 3 + 36 + 0 = 666.

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, 13008474325 + ... + 13008477995.

It is an arithmetic number, because the mean of its divisors is an integer number (111716202780).

Almost surely, 2^{47754115983360} is an apocalyptic number.

47754115983360 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 47754115983360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96522799201920).

47754115983360 is an abundant number, since it is smaller than the sum of its proper divisors (145291482420480).

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

47754115983360 is a wasteful number, since it uses less digits than its factorization.

47754115983360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3782 (or 3740 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 47754115983360 in words is "forty-seven trillion, seven hundred fifty-four billion, one hundred fifteen million, nine hundred eighty-three thousand, three hundred sixty".