7205873525760 has 1408 divisors, whose sum is σ = 31073452139520. Its totient is φ = 1381452742656.

The previous prime is 7205873525723. The next prime is 7205873525779. The reversal of 7205873525760 is 675253785027.

It is a super-2 number, since 2×7205873525760² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 7205873525760.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 689090452 + ... + 689100908.

Almost surely, 2^{7205873525760} is an apocalyptic number.

7205873525760 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 7205873525760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15536726069760).

7205873525760 is an abundant number, since it is smaller than the sum of its proper divisors (23867578613760).

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

7205873525760 is a wasteful number, since it uses less digits than its factorization.

7205873525760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10551 (or 10533 counting only the distinct ones).

The product of its (nonzero) digits is 24696000, while the sum is 57.

The spelling of 7205873525760 in words is "seven trillion, two hundred five billion, eight hundred seventy-three million, five hundred twenty-five thousand, seven hundred sixty".