47977351065600 has 936 divisors, whose sum is σ = 176755671610896. Its totient is φ = 11470897152000.

The previous prime is 47977351065563. The next prime is 47977351065641. The reversal of 47977351065600 is 656015377974.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 2713488760 + ... + 2713506440.

Almost surely, 2^{47977351065600} is an apocalyptic number.

47977351065600 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 47977351065600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88377835805448).

47977351065600 is an abundant number, since it is smaller than the sum of its proper divisors (128778320545296).

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

47977351065600 is a wasteful number, since it uses less digits than its factorization.

47977351065600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17813 (or 17775 counting only the distinct ones).

The product of its (nonzero) digits is 33339600, while the sum is 60.

The spelling of 47977351065600 in words is "forty-seven trillion, nine hundred seventy-seven billion, three hundred fifty-one million, sixty-five thousand, six hundred".