47919513600 has 720 divisors, whose sum is σ = 201530156800. Its totient is φ = 10935336960.

The previous prime is 47919513583. The next prime is 47919513611. The reversal of 47919513600 is 631591974.

47919513600 is a `hidden beast` number, since 4 + 79 + 1 + 9 + 513 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77414091 + ... + 77414709.

Almost surely, 2^47919513600 is an apocalyptic number.

47919513600 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 47919513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100765078400).

47919513600 is an abundant number, since it is smaller than the sum of its proper divisors (153610643200).

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

47919513600 is an equidigital number, since it uses as much as digits as its factorization.

47919513600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 47919513600 in words is "forty-seven billion, nine hundred nineteen million, five hundred thirteen thousand, six hundred".