212461752960 has 384 divisors, whose sum is σ = 780025334400. Its totient is φ = 53168873472.

The previous prime is 212461752911. The next prime is 212461752973. The reversal of 212461752960 is 69257164212.

212461752960 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 61 + 7 + 529 + 60 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 7006311 + ... + 7036569.

It is an arithmetic number, because the mean of its divisors is an integer number (2031315975).

Almost surely, 2^212461752960 is an apocalyptic number.

212461752960 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 212461752960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390012667200).

212461752960 is an abundant number, since it is smaller than the sum of its proper divisors (567563581440).

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

212461752960 is a wasteful number, since it uses less digits than its factorization.

212461752960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30360 (or 30345 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 212461752960 in words is "two hundred twelve billion, four hundred sixty-one million, seven hundred fifty-two thousand, nine hundred sixty".