212990870568960 has 2880 divisors, whose sum is σ = 870574039695360. Its totient is φ = 47662497792000.

The previous prime is 212990870568953. The next prime is 212990870568997. The reversal of 212990870568960 is 69865078099212.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×212990870568960² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 955116011409 + ... + 955116011631.

It is an arithmetic number, because the mean of its divisors is an integer number (302282652672).

Almost surely, 2^{212990870568960} is an apocalyptic number.

212990870568960 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 212990870568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435287019847680).

212990870568960 is an abundant number, since it is smaller than the sum of its proper divisors (657583169126400).

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

212990870568960 is a wasteful number, since it uses less digits than its factorization.

212990870568960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 212990870568960 in words is "two hundred twelve trillion, nine hundred ninety billion, eight hundred seventy million, five hundred sixty-eight thousand, nine hundred sixty".