6981253920000 has 1440 divisors, whose sum is σ = 26578311217920. Its totient is φ = 1828915200000.

The previous prime is 6981253919977. The next prime is 6981253920077. The reversal of 6981253920000 is 293521896.

6981253920000 is a `hidden beast` number, since 6 + 98 + 1 + 2 + 539 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 24844319860 + ... + 24844320140.

It is an arithmetic number, because the mean of its divisors is an integer number (18457160568).

Almost surely, 2^{6981253920000} is an apocalyptic number.

6981253920000 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 6981253920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13289155608960).

6981253920000 is an abundant number, since it is smaller than the sum of its proper divisors (19597057297920).

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

6981253920000 is an frugal number, since it uses more digits than its factorization.

6981253920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 6981253920000 in words is "six trillion, nine hundred eighty-one billion, two hundred fifty-three million, nine hundred twenty thousand".