47992089600 has 1584 divisors, whose sum is σ = 222810218400. Its totient is φ = 10032906240.

The previous prime is 47992089577. The next prime is 47992089631. The reversal of 47992089600 is 698029974.

47992089600 is a `hidden beast` number, since 4 + 7 + 9 + 9 + 20 + 8 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 143 ways as a sum of consecutive naturals, for example, 440294346 + ... + 440294454.

Almost surely, 2^47992089600 is an apocalyptic number.

47992089600 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 47992089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111405109200).

47992089600 is an abundant number, since it is smaller than the sum of its proper divisors (174818128800).

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

47992089600 is a wasteful number, since it uses less digits than its factorization.

47992089600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 47992089600 in words is "forty-seven billion, nine hundred ninety-two million, eighty-nine thousand, six hundred".