47775241113600 has 7488 divisors, whose sum is σ = 244099579484160. Its totient is φ = 7949883801600.

The previous prime is 47775241113599. The next prime is 47775241113631. The reversal of 47775241113600 is 631114257774.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 47775241113600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1291222732782 + ... + 1291222732818.

Almost surely, 2^{47775241113600} is an apocalyptic number.

47775241113600 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 47775241113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122049789742080).

47775241113600 is an abundant number, since it is smaller than the sum of its proper divisors (196324338370560).

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

47775241113600 is a wasteful number, since it uses less digits than its factorization.

47775241113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 48.

The spelling of 47775241113600 in words is "forty-seven trillion, seven hundred seventy-five billion, two hundred forty-one million, one hundred thirteen thousand, six hundred".