211131689040 has 720 divisors, whose sum is σ = 810726770880. Its totient is φ = 48933642240.

The previous prime is 211131689039. The next prime is 211131689081. The reversal of 211131689040 is 40986131112.

211131689040 is a `hidden beast` number, since 211 + 1 + 316 + 8 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×211131689040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 211131688986 and 211131689004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 430003195 + ... + 430003685.

It is an arithmetic number, because the mean of its divisors is an integer number (1126009404).

Almost surely, 2^211131689040 is an apocalyptic number.

211131689040 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 211131689040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405363385440).

211131689040 is an abundant number, since it is smaller than the sum of its proper divisors (599595081840).

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

211131689040 is a wasteful number, since it uses less digits than its factorization.

211131689040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 211131689040 in words is "two hundred eleven billion, one hundred thirty-one million, six hundred eighty-nine thousand, forty".