47982530400 has 576 divisors, whose sum is σ = 184436195328. Its totient is φ = 10607708160.

The previous prime is 47982530381. The next prime is 47982530501. The reversal of 47982530400 is 403528974.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91744539 + ... + 91745061.

It is an arithmetic number, because the mean of its divisors is an integer number (320201728).

Almost surely, 2^47982530400 is an apocalyptic number.

47982530400 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 47982530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92218097664).

47982530400 is an abundant number, since it is smaller than the sum of its proper divisors (136453664928).

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

47982530400 is a wasteful number, since it uses less digits than its factorization.

47982530400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 47982530400 in words is "forty-seven billion, nine hundred eighty-two million, five hundred thirty thousand, four hundred".