210857936940 has 192 divisors, whose sum is σ = 751732101120. Its totient is φ = 48066566400.

The previous prime is 210857936899. The next prime is 210857937019. The reversal of 210857936940 is 49639758012.

210857936940 is a `hidden beast` number, since 2 + 1 + 0 + 8 + 579 + 3 + 69 + 4 + 0 = 666.

It is a super-4 number, since 4×210857936940⁴ (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1335165 + ... + 1484715.

It is an arithmetic number, because the mean of its divisors is an integer number (3915271360).

It is a 1-persistent number, because it is pandigital, but 2⋅210857936940 = 421715873880 is not.

Almost surely, 2^210857936940 is an apocalyptic number.

210857936940 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 210857936940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375866050560).

210857936940 is an abundant number, since it is smaller than the sum of its proper divisors (540874164180).

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

210857936940 is a wasteful number, since it uses less digits than its factorization.

210857936940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149949 (or 149941 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 210857936940 in words is "two hundred ten billion, eight hundred fifty-seven million, nine hundred thirty-six thousand, nine hundred forty".