212430778882560 has 2560 divisors, whose sum is σ = 892969234882560. Its totient is φ = 46872251596800.

The previous prime is 212430778882507. The next prime is 212430778882561. The reversal of 212430778882560 is 65288877034212.

212430778882560 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 307 + 78 + 8 + 8 + 256 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (212430778882561) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 432649243915 + ... + 432649244405.

It is an arithmetic number, because the mean of its divisors is an integer number (348816107376).

Almost surely, 2^{212430778882560} is an apocalyptic number.

212430778882560 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 212430778882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446484617441280).

212430778882560 is an abundant number, since it is smaller than the sum of its proper divisors (680538456000000).

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

212430778882560 is a wasteful number, since it uses less digits than its factorization.

212430778882560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 212430778882560 in words is "two hundred twelve trillion, four hundred thirty billion, seven hundred seventy-eight million, eight hundred eighty-two thousand, five hundred sixty".