47835292800 has 192 divisors, whose sum is σ = 159330650400. Its totient is φ = 12612526080.

The previous prime is 47835292781. The next prime is 47835292811. The reversal of 47835292800 is 829253874.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 47835292800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 826407 + ... + 882393.

Almost surely, 2^47835292800 is an apocalyptic number.

47835292800 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 47835292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79665325200).

47835292800 is an abundant number, since it is smaller than the sum of its proper divisors (111495357600).

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

47835292800 is a wasteful number, since it uses less digits than its factorization.

47835292800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56103 (or 56086 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 47835292800 in words is "forty-seven billion, eight hundred thirty-five million, two hundred ninety-two thousand, eight hundred".