47749837209600 has 360 divisors, whose sum is σ = 162155373541168. Its totient is φ = 12389135155200.

The previous prime is 47749837209539. The next prime is 47749837209661. The reversal of 47749837209600 is 690273894774.

It is an interprime number because it is at equal distance from previous prime (47749837209539) and next prime (47749837209661).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44940480 + ... + 45990720.

Almost surely, 2^{47749837209600} is an apocalyptic number.

47749837209600 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 47749837209600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81077686770584).

47749837209600 is an abundant number, since it is smaller than the sum of its proper divisors (114405536331568).

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

47749837209600 is a wasteful number, since it uses less digits than its factorization.

47749837209600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050319 (or 1050288 counting only the distinct ones).

The product of its (nonzero) digits is 128024064, while the sum is 66.

The spelling of 47749837209600 in words is "forty-seven trillion, seven hundred forty-nine billion, eight hundred thirty-seven million, two hundred nine thousand, six hundred".