210158064900 has 729 divisors, whose sum is σ = 801120723039. Its totient is φ = 45945688320.

The previous prime is 210158064827. The next prime is 210158065001. The reversal of 210158064900 is 9460851012.

The square root of 210158064900 is 458430.

It is a perfect power (a square), and thus also a powerful number.

210158064900 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 5 + 8 + 0 + 649 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19950432516 + 190207632384 = 141246^2 + 436128^2 .

It is a super-2 number, since 2×210158064900² (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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 3562001071 + ... + 3562001129.

Almost surely, 2^210158064900 is an apocalyptic number.

210158064900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

210158064900 is the 458430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210158064900

210158064900 is an abundant number, since it is smaller than the sum of its proper divisors (590962658139).

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

210158064900 is a wasteful number, since it uses less digits than its factorization.

210158064900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Multiplying 210158064900 by its sum of digits (36), we get a square (7565690336400 = 2750580²).

210158064900 divided by its sum of digits (36) gives a square (5837724025 = 76405²).

The spelling of 210158064900 in words is "two hundred ten billion, one hundred fifty-eight million, sixty-four thousand, nine hundred".