212575804672 has 162 divisors, whose sum is σ = 542553930114. Its totient is φ = 82821150720.

The previous prime is 212575804657. The next prime is 212575804687. The reversal of 212575804672 is 276408575212.

It is an interprime number because it is at equal distance from previous prime (212575804657) and next prime (212575804687).

It can be written as a sum of positive squares in only one way, i.e., 162299402496 + 50276402176 = 402864^2 + 224224^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1447798 + ... + 1587850.

Almost surely, 2^212575804672 is an apocalyptic number.

212575804672 is a gapful number since it is divisible by the number (22) 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 212575804672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271276965057).

212575804672 is an abundant number, since it is smaller than the sum of its proper divisors (329978125442).

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

212575804672 is a wasteful number, since it uses less digits than its factorization.

212575804672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140105 (or 140073 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 49.

The spelling of 212575804672 in words is "two hundred twelve billion, five hundred seventy-five million, eight hundred four thousand, six hundred seventy-two".