211925387142 has 192 divisors, whose sum is σ = 543627002880. Its totient is φ = 58405287168.

The previous prime is 211925387137. The next prime is 211925387153. The reversal of 211925387142 is 241783529112.

211925387142 is a `hidden beast` number, since 2 + 1 + 1 + 9 + 2 + 538 + 71 + 42 = 666.

Its product of digits (241920) is a multiple of the sum of its prime divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 435164823 + ... + 435165309.

It is an arithmetic number, because the mean of its divisors is an integer number (2831390640).

Almost surely, 2^211925387142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211925387142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271813501440).

211925387142 is an abundant number, since it is smaller than the sum of its proper divisors (331701615738).

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

211925387142 is a wasteful number, since it uses less digits than its factorization.

211925387142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1152 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 211925387142 in words is "two hundred eleven billion, nine hundred twenty-five million, three hundred eighty-seven thousand, one hundred forty-two".