47098022400 has 960 divisors, whose sum is σ = 203308237440. Its totient is φ = 10528358400.

The previous prime is 47098022393. The next prime is 47098022423. The reversal of 47098022400 is 422089074.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49420324 + ... + 49421276.

It is an arithmetic number, because the mean of its divisors is an integer number (211779414).

Almost surely, 2^47098022400 is an apocalyptic number.

47098022400 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 47098022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101654118720).

47098022400 is an abundant number, since it is smaller than the sum of its proper divisors (156210215040).

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

47098022400 is a wasteful number, since it uses less digits than its factorization.

47098022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 47098022400 in words is "forty-seven billion, ninety-eight million, twenty-two thousand, four hundred".