47453006854800 has 1080 divisors, whose sum is σ = 187275387420576. Its totient is φ = 11498755645440.

The previous prime is 47453006854733. The next prime is 47453006854819. The reversal of 47453006854800 is 845860035474.

It is a happy number.

47453006854800 is a `hidden beast` number, since 4 + 7 + 4 + 5 + 30 + 0 + 68 + 548 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1389651327 + ... + 1389685473.

Almost surely, 2^{47453006854800} is an apocalyptic number.

47453006854800 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 47453006854800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93637693710288).

47453006854800 is an abundant number, since it is smaller than the sum of its proper divisors (139822380565776).

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

47453006854800 is a wasteful number, since it uses less digits than its factorization.

47453006854800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34255 (or 34203 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 47453006854800 in words is "forty-seven trillion, four hundred fifty-three billion, six million, eight hundred fifty-four thousand, eight hundred".