47993418547200 has 1296 divisors, whose sum is σ = 198921037363776. Its totient is φ = 10833887232000.

The previous prime is 47993418547189. The next prime is 47993418547229. The reversal of 47993418547200 is 274581439974.

47993418547200 is a `hidden beast` number, since 4 + 7 + 9 + 9 + 3 + 418 + 5 + 4 + 7 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17134385800 + ... + 17134388600.

It is an arithmetic number, because the mean of its divisors is an integer number (153488454756).

Almost surely, 2^{47993418547200} is an apocalyptic number.

47993418547200 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 47993418547200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99460518681888).

47993418547200 is an abundant number, since it is smaller than the sum of its proper divisors (150927618816576).

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

47993418547200 is an equidigital number, since it uses as much as digits as its factorization.

47993418547200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2941 (or 2901 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 47993418547200 in words is "forty-seven trillion, nine hundred ninety-three billion, four hundred eighteen million, five hundred forty-seven thousand, two hundred".