47725318281600 has 576 divisors, whose sum is σ = 180892173462000. Its totient is φ = 12287879331840.

The previous prime is 47725318281551. The next prime is 47725318281617. The reversal of 47725318281600 is 618281352774.

47725318281600 is a `hidden beast` number, since 4 + 7 + 7 + 2 + 5 + 3 + 1 + 8 + 28 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 72333996 + ... + 72990804.

Almost surely, 2^{47725318281600} is an apocalyptic number.

47725318281600 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 47725318281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90446086731000).

47725318281600 is an abundant number, since it is smaller than the sum of its proper divisors (133166855180400).

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

47725318281600 is a wasteful number, since it uses less digits than its factorization.

47725318281600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656900 (or 656848 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 47725318281600 in words is "forty-seven trillion, seven hundred twenty-five billion, three hundred eighteen million, two hundred eighty-one thousand, six hundred".