212490708480 has 960 divisors, whose sum is σ = 822340366848. Its totient is φ = 52394065920.

The previous prime is 212490708439. The next prime is 212490708523. The reversal of 212490708480 is 84807094212.

212490708480 is a `hidden beast` number, since 2 + 1 + 2 + 490 + 7 + 0 + 84 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×212490708480³ (a number of 35 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 750850419 + ... + 750850701.

Almost surely, 2^212490708480 is an apocalyptic number.

212490708480 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 212490708480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411170183424).

212490708480 is an abundant number, since it is smaller than the sum of its proper divisors (609849658368).

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

212490708480 is an equidigital number, since it uses as much as digits as its factorization.

212490708480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 212490708480 in words is "two hundred twelve billion, four hundred ninety million, seven hundred eight thousand, four hundred eighty".