212028953472 has 384 divisors, whose sum is σ = 719943744000. Its totient is φ = 58629795840.

The previous prime is 212028953459. The next prime is 212028953497. The reversal of 212028953472 is 274359820212.

212028953472 is a `hidden beast` number, since 2 + 1 + 20 + 28 + 9 + 534 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×212028953472² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 59373447 + ... + 59377017.

It is an arithmetic number, because the mean of its divisors is an integer number (1874853500).

Almost surely, 2^212028953472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212028953472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359971872000).

212028953472 is an abundant number, since it is smaller than the sum of its proper divisors (507914790528).

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

212028953472 is a wasteful number, since it uses less digits than its factorization.

212028953472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3834 (or 3819 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 212028953472 in words is "two hundred twelve billion, twenty-eight million, nine hundred fifty-three thousand, four hundred seventy-two".