47820972800 has 216 divisors, whose sum is σ = 125745858000. Its totient is φ = 17943101440.

The previous prime is 47820972799. The next prime is 47820972803. The reversal of 47820972800 is 827902874.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (47820972803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45586676 + ... + 45587724.

It is an arithmetic number, because the mean of its divisors is an integer number (582156750).

Almost surely, 2^47820972800 is an apocalyptic number.

47820972800 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 47820972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62872929000).

47820972800 is an abundant number, since it is smaller than the sum of its proper divisors (77924885200).

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

47820972800 is a wasteful number, since it uses less digits than its factorization.

47820972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 47.

The spelling of 47820972800 in words is "forty-seven billion, eight hundred twenty million, nine hundred seventy-two thousand, eight hundred".