2177538268160 has 88 divisors (see below), whose sum is σ = 5226638998320. Its totient is φ = 870498566144.

The previous prime is 2177538268151. The next prime is 2177538268207. The reversal of 2177538268160 is 618628357712.

It is a junction number, because it is equal to n+sod(n) for n = 2177538268096 and 2177538268105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8563331 + ... + 8813949.

Almost surely, 2^{2177538268160} is an apocalyptic number.

2177538268160 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 2177538268160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2613319499160).

2177538268160 is an abundant number, since it is smaller than the sum of its proper divisors (3049100730160).

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

2177538268160 is a wasteful number, since it uses less digits than its factorization.

2177538268160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252341 (or 252323 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 56.

The spelling of 2177538268160 in words is "two trillion, one hundred seventy-seven billion, five hundred thirty-eight million, two hundred sixty-eight thousand, one hundred sixty".