212451932160 has 1920 divisors, whose sum is σ = 928993665600. Its totient is φ = 45864714240.

The previous prime is 212451932153. The next prime is 212451932207. The reversal of 212451932160 is 61239154212.

212451932160 is a `hidden beast` number, since 2 + 12 + 451 + 9 + 32 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 159 ways as a sum of consecutive naturals, for example, 3482818530 + ... + 3482818590.

Almost surely, 2^212451932160 is an apocalyptic number.

212451932160 is a gapful number since it is divisible by the number (20) 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 212451932160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464496832800).

212451932160 is an abundant number, since it is smaller than the sum of its proper divisors (716541733440).

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

212451932160 is a wasteful number, since it uses less digits than its factorization.

212451932160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 212451932160 in words is "two hundred twelve billion, four hundred fifty-one million, nine hundred thirty-two thousand, one hundred sixty".