993782171200 has 1512 divisors, whose sum is σ = 3365957268072. Its totient is φ = 285937827840.

The previous prime is 993782171191. The next prime is 993782171227. The reversal of 993782171200 is 2171287399.

It can be written as a sum of positive squares in 12 ways, for example, as 202564805184 + 791217366016 = 450072^2 + 889504^2 .

It is a super-2 number, since 2×993782171200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

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, 13613454364 + ... + 13613454436.

Almost surely, 2^993782171200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 993782171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682978634036).

993782171200 is an abundant number, since it is smaller than the sum of its proper divisors (2372175096872).

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

993782171200 is a wasteful number, since it uses less digits than its factorization.

993782171200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 49.

The spelling of 993782171200 in words is "nine hundred ninety-three billion, seven hundred eighty-two million, one hundred seventy-one thousand, two hundred".