47786052600 has 768 divisors, whose sum is σ = 203611968000. Its totient is φ = 10127462400.

The previous prime is 47786052599. The next prime is 47786052623. The reversal of 47786052600 is 625068774.

47786052600 is a `hidden beast` number, since 47 + 7 + 86 + 0 + 526 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14670172 + ... + 14673428.

It is an arithmetic number, because the mean of its divisors is an integer number (265119750).

Almost surely, 2^47786052600 is an apocalyptic number.

47786052600 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 47786052600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101805984000).

47786052600 is an abundant number, since it is smaller than the sum of its proper divisors (155825915400).

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

47786052600 is a wasteful number, since it uses less digits than its factorization.

47786052600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3325 (or 3310 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 47786052600 in words is "forty-seven billion, seven hundred eighty-six million, fifty-two thousand, six hundred".