47965725849600 has 1152 divisors, whose sum is σ = 190302091761600. Its totient is φ = 11771943321600.

The previous prime is 47965725849593. The next prime is 47965725849617. The reversal of 47965725849600 is 694852756974.

47965725849600 is a `hidden beast` number, since 4 + 7 + 9 + 6 + 5 + 7 + 2 + 5 + 8 + 4 + 9 + 600 = 666.

47965725849600 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 6343829820 + ... + 6343837380.

Almost surely, 2^{47965725849600} is an apocalyptic number.

47965725849600 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 47965725849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95151045880800).

47965725849600 is an abundant number, since it is smaller than the sum of its proper divisors (142336365912000).

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

47965725849600 is a wasteful number, since it uses less digits than its factorization.

47965725849600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7968 (or 7937 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 72.

The spelling of 47965725849600 in words is "forty-seven trillion, nine hundred sixty-five billion, seven hundred twenty-five million, eight hundred forty-nine thousand, six hundred".