47935482775488 has 672 divisors, whose sum is σ = 177866450431488. Its totient is φ = 12435354316800.

The previous prime is 47935482775447. The next prime is 47935482775517. The reversal of 47935482775488 is 88457728453974.

47935482775488 is a `hidden beast` number, since 4 + 7 + 9 + 3 + 5 + 48 + 27 + 7 + 548 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 983126406 + ... + 983175162.

It is an arithmetic number, because the mean of its divisors is an integer number (264682217904).

Almost surely, 2^{47935482775488} is an apocalyptic number.

47935482775488 is a gapful number since it is divisible by the number (48) 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 47935482775488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88933225215744).

47935482775488 is an abundant number, since it is smaller than the sum of its proper divisors (129930967656000).

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

47935482775488 is a wasteful number, since it uses less digits than its factorization.

47935482775488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49623 (or 49601 counting only the distinct ones).

The product of its digits is 15173222400, while the sum is 81.

The spelling of 47935482775488 in words is "forty-seven trillion, nine hundred thirty-five billion, four hundred eighty-two million, seven hundred seventy-five thousand, four hundred eighty-eight".