47575368400 has 240 divisors, whose sum is σ = 132380225536. Its totient is φ = 16094453760.

The previous prime is 47575368391. The next prime is 47575368413. The reversal of 47575368400 is 486357574.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119837002 + ... + 119837398.

Almost surely, 2^47575368400 is an apocalyptic number.

47575368400 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 47575368400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66190112768).

47575368400 is an abundant number, since it is smaller than the sum of its proper divisors (84804857136).

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

47575368400 is a wasteful number, since it uses less digits than its factorization.

47575368400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 49.

The spelling of 47575368400 in words is "forty-seven billion, five hundred seventy-five million, three hundred sixty-eight thousand, four hundred".