47808584400 has 240 divisors, whose sum is σ = 159577786368. Its totient is φ = 12221376000.

The previous prime is 47808584399. The next prime is 47808584449. The reversal of 47808584400 is 448580874.

It is a tau number, because it is divible by the number of its divisors (240).

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 47808584400.

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, 3974395 + ... + 3986405.

Almost surely, 2^47808584400 is an apocalyptic number.

47808584400 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 47808584400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79788893184).

47808584400 is an abundant number, since it is smaller than the sum of its proper divisors (111769201968).

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

47808584400 is a wasteful number, since it uses less digits than its factorization.

47808584400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12170 (or 12159 counting only the distinct ones).

The product of its (nonzero) digits is 1146880, while the sum is 48.

The spelling of 47808584400 in words is "forty-seven billion, eight hundred eight million, five hundred eighty-four thousand, four hundred".