7253971845120 has 1440 divisors, whose sum is σ = 33766346315520. Its totient is φ = 1391229665280.

The previous prime is 7253971845073. The next prime is 7253971845137. The reversal of 7253971845120 is 215481793527.

7253971845120 is a `hidden beast` number, since 7 + 2 + 5 + 397 + 184 + 51 + 20 = 666.

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

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, 738012366 + ... + 738022194.

It is an arithmetic number, because the mean of its divisors is an integer number (23448851608).

Almost surely, 2^{7253971845120} is an apocalyptic number.

7253971845120 is a gapful number since it is divisible by the number (70) 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 7253971845120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16883173157760).

7253971845120 is an abundant number, since it is smaller than the sum of its proper divisors (26512374470400).

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

7253971845120 is a wasteful number, since it uses less digits than its factorization.

7253971845120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9899 (or 9870 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 7253971845120 in words is "seven trillion, two hundred fifty-three billion, nine hundred seventy-one million, eight hundred forty-five thousand, one hundred twenty".