47895258009600 has 1287 divisors, whose sum is σ = 180171753856063. Its totient is φ = 12628562411520.

The previous prime is 47895258009539. The next prime is 47895258009631. The reversal of 47895258009600 is 690085259874.

The square root of 47895258009600 is 6920640.

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

47895258009600 is a `hidden beast` number, since 47 + 8 + 9 + 5 + 2 + 580 + 0 + 9 + 6 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9967002587136 + 37928255422464 = 3157056^2 + 6158592^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 538148966356 + ... + 538148966444.

Almost surely, 2^{47895258009600} is an apocalyptic number.

47895258009600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

47895258009600 is the 6920640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47895258009600

47895258009600 is an abundant number, since it is smaller than the sum of its proper divisors (132276495846463).

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

47895258009600 is an frugal number, since it uses more digits than its factorization.

47895258009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 47895258009600 in words is "forty-seven trillion, eight hundred ninety-five billion, two hundred fifty-eight million, nine thousand, six hundred".