47855295072000 has 720 divisors, whose sum is σ = 191783331772032. Its totient is φ = 11779756646400.

The previous prime is 47855295071977. The next prime is 47855295072017. The reversal of 47855295072000 is 27059255874.

47855295072000 is a `hidden beast` number, since 4 + 7 + 85 + 52 + 9 + 507 + 2 + 0 + 0 + 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32985897 + ... + 34406103.

Almost surely, 2^{47855295072000} is an apocalyptic number.

47855295072000 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 47855295072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95891665886016).

47855295072000 is an abundant number, since it is smaller than the sum of its proper divisors (143928036700032).

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

47855295072000 is a wasteful number, since it uses less digits than its factorization.

47855295072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420263 (or 1420230 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 47855295072000 in words is "forty-seven trillion, eight hundred fifty-five billion, two hundred ninety-five million, seventy-two thousand".