212004764590080 has 2688 divisors, whose sum is σ = 881212297641984. Its totient is φ = 42575195013120.

The previous prime is 212004764590057. The next prime is 212004764590093. The reversal of 212004764590080 is 80095467400212.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 568377384774 + ... + 568377385146.

It is an arithmetic number, because the mean of its divisors is an integer number (327831955968).

Almost surely, 2^{212004764590080} is an apocalyptic number.

212004764590080 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 212004764590080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440606148820992).

212004764590080 is an abundant number, since it is smaller than the sum of its proper divisors (669207533051904).

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

212004764590080 is a wasteful number, since it uses less digits than its factorization.

212004764590080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 212004764590080 in words is "two hundred twelve trillion, four billion, seven hundred sixty-four million, five hundred ninety thousand, eighty".