2117727262728 has 256 divisors, whose sum is σ = 7335452160000. Its totient is φ = 549959155200.

The previous prime is 2117727262649. The next prime is 2117727262747. The reversal of 2117727262728 is 8272627277112.

2117727262728 is a `hidden beast` number, since 2 + 1 + 1 + 7 + 7 + 2 + 7 + 2 + 627 + 2 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 150495933 + ... + 150510003.

It is an arithmetic number, because the mean of its divisors is an integer number (28654110000).

Almost surely, 2^{2117727262728} is an apocalyptic number.

2117727262728 is a gapful number since it is divisible by the number (28) 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 2117727262728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3667726080000).

2117727262728 is an abundant number, since it is smaller than the sum of its proper divisors (5217724897272).

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

2117727262728 is a wasteful number, since it uses less digits than its factorization.

2117727262728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23153 (or 23143 counting only the distinct ones).

The product of its digits is 3687936, while the sum is 54.

The spelling of 2117727262728 in words is "two trillion, one hundred seventeen billion, seven hundred twenty-seven million, two hundred sixty-two thousand, seven hundred twenty-eight".