212551577160 has 256 divisors, whose sum is σ = 720822412800. Its totient is φ = 50044161024.

The previous prime is 212551577153. The next prime is 212551577191. The reversal of 212551577160 is 61775155212.

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, 6046194 + ... + 6081246.

It is an arithmetic number, because the mean of its divisors is an integer number (2815712550).

Almost surely, 2^212551577160 is an apocalyptic number.

212551577160 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 212551577160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360411206400).

212551577160 is an abundant number, since it is smaller than the sum of its proper divisors (508270835640).

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

212551577160 is a wasteful number, since it uses less digits than its factorization.

212551577160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35129 (or 35099 counting only the distinct ones).

The product of its (nonzero) digits is 147000, while the sum is 42.

The spelling of 212551577160 in words is "two hundred twelve billion, five hundred fifty-one million, five hundred seventy-seven thousand, one hundred sixty".