212466525024 has 96 divisors (see below), whose sum is σ = 600816593664. Its totient is φ = 65353628160.

The previous prime is 212466524971. The next prime is 212466525031. The reversal of 212466525024 is 420525664212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4181757 + ... + 4232259.

It is an arithmetic number, because the mean of its divisors is an integer number (6258506184).

Almost surely, 2^212466525024 is an apocalyptic number.

212466525024 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 212466525024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300408296832).

212466525024 is an abundant number, since it is smaller than the sum of its proper divisors (388350068640).

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

212466525024 is a wasteful number, since it uses less digits than its factorization.

212466525024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53900 (or 53892 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 212466525024 in words is "two hundred twelve billion, four hundred sixty-six million, five hundred twenty-five thousand, twenty-four".