6960211200000 has 1152 divisors, whose sum is σ = 26349638515200. Its totient is φ = 1814446080000.

The previous prime is 6960211199989. The next prime is 6960211200013. The reversal of 6960211200000 is 21120696.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 8121599572 + ... + 8121600428.

It is an arithmetic number, because the mean of its divisors is an integer number (22872950100).

Almost surely, 2^{6960211200000} is an apocalyptic number.

6960211200000 is a gapful number since it is divisible by the number (60) 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 6960211200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13174819257600).

6960211200000 is an abundant number, since it is smaller than the sum of its proper divisors (19389427315200).

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

6960211200000 is an frugal number, since it uses more digits than its factorization.

6960211200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 6960211200000 its reverse (21120696), we get a palindrome (6960232320696).

The spelling of 6960211200000 in words is "six trillion, nine hundred sixty billion, two hundred eleven million, two hundred thousand".