212082506988480 has 448 divisors, whose sum is σ = 798346356364800. Its totient is φ = 52844780298240.

The previous prime is 212082506988479. The next prime is 212082506988493. The reversal of 212082506988480 is 84889605280212.

212082506988480 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 8 + 2 + 506 + 9 + 88 + 48 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3134875 + ... + 20832485.

Almost surely, 2^{212082506988480} is an apocalyptic number.

212082506988480 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 212082506988480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399173178182400).

212082506988480 is an abundant number, since it is smaller than the sum of its proper divisors (586263849376320).

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

212082506988480 is a wasteful number, since it uses less digits than its factorization.

212082506988480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17697729 (or 17697713 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 63.

The spelling of 212082506988480 in words is "two hundred twelve trillion, eighty-two billion, five hundred six million, nine hundred eighty-eight thousand, four hundred eighty".