211162109090730 has 128 divisors (see below), whose sum is σ = 591060561408000. Its totient is φ = 48261304026432.

The previous prime is 211162109090729. The next prime is 211162109090771. The reversal of 211162109090730 is 37090901261112.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 114736369 + ... + 116562251.

It is an arithmetic number, because the mean of its divisors is an integer number (4617660636000).

Almost surely, 2^{211162109090730} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211162109090730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295530280704000).

211162109090730 is an abundant number, since it is smaller than the sum of its proper divisors (379898452317270).

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

211162109090730 is a wasteful number, since it uses less digits than its factorization.

211162109090730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1837153 (or 1837139 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 42.

The spelling of 211162109090730 in words is "two hundred eleven trillion, one hundred sixty-two billion, one hundred nine million, ninety thousand, seven hundred thirty".