47800392192000 has 3328 divisors, whose sum is σ = 218595117312000. Its totient is φ = 10265768755200.

The previous prime is 47800392191977. The next prime is 47800392192001. The reversal of 47800392192000 is 29129300874.

47800392192000 is a `hidden beast` number, since 4 + 78 + 0 + 0 + 392 + 192 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (47800392192001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 80607743704 + ... + 80607744296.

It is an arithmetic number, because the mean of its divisors is an integer number (65683629000).

Almost surely, 2^{47800392192000} is an apocalyptic number.

47800392192000 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 47800392192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109297558656000).

47800392192000 is an abundant number, since it is smaller than the sum of its proper divisors (170794725120000).

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

47800392192000 is an equidigital number, since it uses as much as digits as its factorization.

47800392192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 47800392192000 in words is "forty-seven trillion, eight hundred billion, three hundred ninety-two million, one hundred ninety-two thousand".