2385116271720 has 2304 divisors, whose sum is σ = 10819625544000. Its totient is φ = 451034873856.

The previous prime is 2385116271623. The next prime is 2385116271757. The reversal of 2385116271720 is 271726115832.

2385116271720 is a `hidden beast` number, since 2 + 3 + 8 + 5 + 1 + 1 + 627 + 17 + 2 + 0 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 68005165284 + 2317111106436 = 260778^2 + 1522206^2 .

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 575 ways as a sum of consecutive naturals, for example, 32672825604 + ... + 32672825676.

Almost surely, 2^{2385116271720} is an apocalyptic number.

2385116271720 is a gapful number since it is divisible by the number (20) 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 2385116271720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5409812772000).

2385116271720 is an abundant number, since it is smaller than the sum of its proper divisors (8434509272280).

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

2385116271720 is a wasteful number, since it uses less digits than its factorization.

2385116271720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 2385116271720 in words is "two trillion, three hundred eighty-five billion, one hundred sixteen million, two hundred seventy-one thousand, seven hundred twenty".