47986931107600 has 135 divisors (see below), whose sum is σ = 119138219521119. Its totient is φ = 18573923692800.

The previous prime is 47986931107567. The next prime is 47986931107663. The reversal of 47986931107600 is 670113968974.

The square root of 47986931107600 is 6927260.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1433929611024 + 46553001496576 = 1197468^2 + 6822976^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4294895614 + ... + 4294906786.

Almost surely, 2^{47986931107600} is an apocalyptic number.

47986931107600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

47986931107600 is the 6927260-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47986931107600

47986931107600 is an abundant number, since it is smaller than the sum of its proper divisors (71151288413519).

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

47986931107600 is an frugal number, since it uses more digits than its factorization.

47986931107600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22426 (or 11211 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 61.

The spelling of 47986931107600 in words is "forty-seven trillion, nine hundred eighty-six billion, nine hundred thirty-one million, one hundred seven thousand, six hundred".