47861138700 has 864 divisors, whose sum is σ = 177828618240. Its totient is φ = 10683187200.

The previous prime is 47861138657. The next prime is 47861138707. The reversal of 47861138700 is 783116874.

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 (47861138707) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 423549844 + ... + 423549956.

It is an arithmetic number, because the mean of its divisors is an integer number (205820160).

Almost surely, 2^47861138700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47861138700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88914309120).

47861138700 is an abundant number, since it is smaller than the sum of its proper divisors (129967479540).

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

47861138700 is a wasteful number, since it uses less digits than its factorization.

47861138700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 47861138700 in words is "forty-seven billion, eight hundred sixty-one million, one hundred thirty-eight thousand, seven hundred".