47953382400 has 2112 divisors, whose sum is σ = 236851983360. Its totient is φ = 9201254400.

The previous prime is 47953382371. The next prime is 47953382401. The reversal of 47953382400 is 428335974.

47953382400 is a `hidden beast` number, since 4 + 79 + 5 + 338 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (47953382401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 904780774 + ... + 904780826.

Almost surely, 2^47953382400 is an apocalyptic number.

47953382400 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 47953382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118425991680).

47953382400 is an abundant number, since it is smaller than the sum of its proper divisors (188898600960).

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

47953382400 is a wasteful number, since it uses less digits than its factorization.

47953382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 47953382400 in words is "forty-seven billion, nine hundred fifty-three million, three hundred eighty-two thousand, four hundred".