47198553292800 has 3240 divisors, whose sum is σ = 217198768937696. Its totient is φ = 9906778275840.

The previous prime is 47198553292777. The next prime is 47198553292861. The reversal of 47198553292800 is 829235589174.

47198553292800 is a `hidden beast` number, since 4 + 7 + 1 + 9 + 8 + 5 + 532 + 92 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

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 215 ways as a sum of consecutive naturals, for example, 244552089504 + ... + 244552089696.

Almost surely, 2^{47198553292800} is an apocalyptic number.

47198553292800 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 47198553292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108599384468848).

47198553292800 is an abundant number, since it is smaller than the sum of its proper divisors (170000215644896).

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

47198553292800 is an frugal number, since it uses more digits than its factorization.

47198553292800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 47198553292800 in words is "forty-seven trillion, one hundred ninety-eight billion, five hundred fifty-three million, two hundred ninety-two thousand, eight hundred".