47938586296320 has 1200 divisors, whose sum is σ = 191559174428160. Its totient is φ = 11397891096576.

The previous prime is 47938586296313. The next prime is 47938586296357. The reversal of 47938586296320 is 2369268583974.

It is a happy number.

47938586296320 is a `hidden beast` number, since 4 + 7 + 9 + 3 + 8 + 5 + 8 + 6 + 296 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2143261777 + ... + 2143284143.

Almost surely, 2^{47938586296320} is an apocalyptic number.

47938586296320 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 47938586296320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95779587214080).

47938586296320 is an abundant number, since it is smaller than the sum of its proper divisors (143620588131840).

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

47938586296320 is a wasteful number, since it uses less digits than its factorization.

47938586296320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22448 (or 22413 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 47938586296320 in words is "forty-seven trillion, nine hundred thirty-eight billion, five hundred eighty-six million, two hundred ninety-six thousand, three hundred twenty".