7538850053280 has 1440 divisors, whose sum is σ = 35291685589776. Its totient is φ = 1497021087744.

The previous prime is 7538850053237. The next prime is 7538850053321. The reversal of 7538850053280 is 823500588357.

It is a happy number.

7538850053280 is a `hidden beast` number, since 7 + 5 + 3 + 8 + 8 + 500 + 53 + 2 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2873716601616 + 4665133451664 = 1695204^2 + 2159892^2 .

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 (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 140316982 + ... + 140370698.

Almost surely, 2^{7538850053280} is an apocalyptic number.

7538850053280 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 7538850053280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17645842794888).

7538850053280 is an abundant number, since it is smaller than the sum of its proper divisors (27752835536496).

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

7538850053280 is a wasteful number, since it uses less digits than its factorization.

7538850053280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53788 (or 53764 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 7538850053280 in words is "seven trillion, five hundred thirty-eight billion, eight hundred fifty million, fifty-three thousand, two hundred eighty".