47958220800 has 1260 divisors, whose sum is σ = 210168004860. Its totient is φ = 10776084480.

The previous prime is 47958220799. The next prime is 47958220861. The reversal of 47958220800 is 802285974.

47958220800 is a `hidden beast` number, since 47 + 9 + 582 + 20 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1260).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 812851171 + ... + 812851229.

Almost surely, 2^47958220800 is an apocalyptic number.

47958220800 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 47958220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105084002430).

47958220800 is an abundant number, since it is smaller than the sum of its proper divisors (162209784060).

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

47958220800 is an equidigital number, since it uses as much as digits as its factorization.

47958220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 47958220800 in words is "forty-seven billion, nine hundred fifty-eight million, two hundred twenty thousand, eight hundred".