211157052172 has 192 divisors, whose sum is σ = 440820817920. Its totient is φ = 87573657600.

The previous prime is 211157052163. The next prime is 211157052199. The reversal of 211157052172 is 271250751112.

It is a super-3 number, since 3×211157052172³ (a number of 35 digits) contains 333 as substring.

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, 238057113 + ... + 238057999.

It is an arithmetic number, because the mean of its divisors is an integer number (2295941760).

Almost surely, 2^211157052172 is an apocalyptic number.

211157052172 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211157052172 is an abundant number, since it is smaller than the sum of its proper divisors (229663765748).

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

211157052172 is a wasteful number, since it uses less digits than its factorization.

211157052172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 34.

The spelling of 211157052172 in words is "two hundred eleven billion, one hundred fifty-seven million, fifty-two thousand, one hundred seventy-two".