47850393600 has 546 divisors, whose sum is σ = 178177889226. Its totient is φ = 12740198400.

The previous prime is 47850393599. The next prime is 47850393653. The reversal of 47850393600 is 639305874.

47850393600 is a `hidden beast` number, since 4 + 7 + 8 + 5 + 0 + 39 + 3 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 10394210304 + 37456183296 = 101952^2 + 193536^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 74649280 + ... + 74649920.

Almost surely, 2^47850393600 is an apocalyptic number.

47850393600 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 47850393600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89088944613).

47850393600 is an abundant number, since it is smaller than the sum of its proper divisors (130327495626).

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

47850393600 is an frugal number, since it uses more digits than its factorization.

47850393600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 47850393600 in words is "forty-seven billion, eight hundred fifty million, three hundred ninety-three thousand, six hundred".