47863038412800 has 2880 divisors, whose sum is σ = 199423973548800. Its totient is φ = 11268705484800.

The previous prime is 47863038412769. The next prime is 47863038412843. The reversal of 47863038412800 is 821483036874.

47863038412800 is a `hidden beast` number, since 47 + 86 + 3 + 0 + 38 + 412 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×47863038412800² (a number of 28 digits) contains 22 as substring.

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 239 ways as a sum of consecutive naturals, for example, 130416998217 + ... + 130416998583.

It is an arithmetic number, because the mean of its divisors is an integer number (69244435260).

Almost surely, 2^{47863038412800} is an apocalyptic number.

47863038412800 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 47863038412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99711986774400).

47863038412800 is an abundant number, since it is smaller than the sum of its proper divisors (151560935136000).

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

47863038412800 is a wasteful number, since it uses less digits than its factorization.

47863038412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 47863038412800 in words is "forty-seven trillion, eight hundred sixty-three billion, thirty-eight million, four hundred twelve thousand, eight hundred".