47285977190400 has 3159 divisors, whose sum is σ = 200463907957209. Its totient is φ = 10646771466240.

The previous prime is 47285977190359. The next prime is 47285977190423. The reversal of 47285977190400 is 409177958274.

The square root of 47285977190400 is 6876480.

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

47285977190400 is a `hidden beast` number, since 4 + 7 + 28 + 59 + 7 + 71 + 90 + 400 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 43742667902976 + 3543309287424 = 6613824^2 + 1882368^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1630550937586 + ... + 1630550937614.

Almost surely, 2^{47285977190400} is an apocalyptic number.

47285977190400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

47285977190400 is the 6876480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47285977190400

47285977190400 is an abundant number, since it is smaller than the sum of its proper divisors (153177930766809).

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

47285977190400 is a wasteful number, since it uses less digits than its factorization.

47285977190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 47285977190400 in words is "forty-seven trillion, two hundred eighty-five billion, nine hundred seventy-seven million, one hundred ninety thousand, four hundred".