47200104000 has 1792 divisors, whose sum is σ = 219104870400. Its totient is φ = 9704448000.

The previous prime is 47200103971. The next prime is 47200104001. The reversal of 47200104000 is 40100274.

It is a happy number.

47200104000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×47200104000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (47200104001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 890567974 + ... + 890568026.

Almost surely, 2^47200104000 is an apocalyptic number.

47200104000 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 47200104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109552435200).

47200104000 is an abundant number, since it is smaller than the sum of its proper divisors (171904766400).

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

47200104000 is a wasteful number, since it uses less digits than its factorization.

47200104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

Adding to 47200104000 its reverse (40100274), we get a palindrome (47240204274).

The spelling of 47200104000 in words is "forty-seven billion, two hundred million, one hundred four thousand".