210027075264 has 336 divisors, whose sum is σ = 652293457920. Its totient is φ = 64420392960.

The previous prime is 210027075239. The next prime is 210027075311. The reversal of 210027075264 is 462570720012.

It is a happy number.

210027075264 is a `hidden beast` number, since 2 + 100 + 27 + 0 + 7 + 526 + 4 = 666.

It is a super-2 number, since 2×210027075264² (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73511724 + ... + 73514580.

Almost surely, 2^210027075264 is an apocalyptic number.

210027075264 is a gapful number since it is divisible by the number (24) 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 210027075264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326146728960).

210027075264 is an abundant number, since it is smaller than the sum of its proper divisors (442266382656).

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

210027075264 is a wasteful number, since it uses less digits than its factorization.

210027075264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3108 (or 3095 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

Adding to 210027075264 its reverse (462570720012), we get a palindrome (672597795276).

The spelling of 210027075264 in words is "two hundred ten billion, twenty-seven million, seventy-five thousand, two hundred sixty-four".