47498133217920 has 768 divisors, whose sum is σ = 191687189299200. Its totient is φ = 9791984885760.

The previous prime is 47498133217919. The next prime is 47498133217937. The reversal of 47498133217920 is 2971233189474.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 206417491 + ... + 206647469.

It is an arithmetic number, because the mean of its divisors is an integer number (249592694400).

Almost surely, 2^{47498133217920} is an apocalyptic number.

47498133217920 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 47498133217920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95843594649600).

47498133217920 is an abundant number, since it is smaller than the sum of its proper divisors (144189056081280).

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

47498133217920 is a wasteful number, since it uses less digits than its factorization.

47498133217920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230157 (or 230134 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 60.

The spelling of 47498133217920 in words is "forty-seven trillion, four hundred ninety-eight billion, one hundred thirty-three million, two hundred seventeen thousand, nine hundred twenty".