211168100755080 has 768 divisors, whose sum is σ = 823964826746880. Its totient is φ = 45857214830592.

The previous prime is 211168100755069. The next prime is 211168100755091. The reversal of 211168100755080 is 80557001861112.

211168100755080 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 6 + 8 + 10 + 0 + 7 + 550 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (211168100755069) and next prime (211168100755091).

It is a super-2 number, since 2×211168100755080² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14005968502 + ... + 14005983578.

It is an arithmetic number, because the mean of its divisors is an integer number (1072870868160).

Almost surely, 2^{211168100755080} is an apocalyptic number.

211168100755080 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 211168100755080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411982413373440).

211168100755080 is an abundant number, since it is smaller than the sum of its proper divisors (612796725991800).

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

211168100755080 is a wasteful number, since it uses less digits than its factorization.

211168100755080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16738 (or 16731 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 45.

The spelling of 211168100755080 in words is "two hundred eleven trillion, one hundred sixty-eight billion, one hundred million, seven hundred fifty-five thousand, eighty".