2138175178560 has 224 divisors, whose sum is σ = 7649248608000. Its totient is φ = 562149181440.

The previous prime is 2138175178549. The next prime is 2138175178571. The reversal of 2138175178560 is 658715718312.

2138175178560 is a `hidden beast` number, since 2 + 1 + 3 + 8 + 1 + 7 + 5 + 1 + 78 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (2138175178549) and next prime (2138175178571).

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

It is a junction number, because it is equal to n+sod(n) for n = 2138175178497 and 2138175178506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1129335 + ... + 2356214.

Almost surely, 2^{2138175178560} is an apocalyptic number.

2138175178560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2138175178560 is an abundant number, since it is smaller than the sum of its proper divisors (5511073429440).

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

2138175178560 is a wasteful number, since it uses less digits than its factorization.

2138175178560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3485646 (or 3485630 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 2138175178560 in words is "two trillion, one hundred thirty-eight billion, one hundred seventy-five million, one hundred seventy-eight thousand, five hundred sixty".