47098920960 has 1152 divisors, whose sum is σ = 209540036160. Its totient is φ = 9937354752.

The previous prime is 47098920959. The next prime is 47098920983. The reversal of 47098920960 is 6902989074.

47098920960 is a `hidden beast` number, since 470 + 9 + 89 + 2 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 47098920897 and 47098920906.

It is a congruent number.

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, 3622993914 + ... + 3622993926.

Almost surely, 2^47098920960 is an apocalyptic number.

47098920960 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 47098920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104770018080).

47098920960 is an abundant number, since it is smaller than the sum of its proper divisors (162441115200).

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

47098920960 is an frugal number, since it uses more digits than its factorization.

47098920960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 47098920960 in words is "forty-seven billion, ninety-eight million, nine hundred twenty thousand, nine hundred sixty".