7905853580625 has 2880 divisors, whose sum is σ = 23520702965760. Its totient is φ = 2586608640000.

The previous prime is 7905853580621. The next prime is 7905853580633. The reversal of 7905853580625 is 5260853585097.

It is a double factorial (7905853580625 = 25 !! = 1 ⋅ 3 ⋅ 5 ⋅ 7 ⋅ 9 ⋅ 11 ⋅ 13 ⋅ 15 ⋅ 17 ⋅ 19 ⋅ 21 ⋅ 23 ⋅ 25 ).

7905853580625 is a `hidden beast` number, since 7 + 90 + 5 + 8 + 535 + 8 + 0 + 6 + 2 + 5 = 666.

It is not a de Polignac number, because 7905853580625 - 2² = 7905853580621 is a prime.

It is a super-2 number, since 2×7905853580625² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (7905853580621) by changing a digit.

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 2879 ways as a sum of consecutive naturals, for example, 343732764364 + ... + 343732764386.

It is an arithmetic number, because the mean of its divisors is an integer number (8166910752).

Almost surely, 2^{7905853580625} is an apocalyptic number.

7905853580625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

7905853580625 is an abundant number, since it is smaller than the sum of its proper divisors (15614849385135).

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

7905853580625 is a wasteful number, since it uses less digits than its factorization.

7905853580625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 90720000, while the sum is 63.

The spelling of 7905853580625 in words is "seven trillion, nine hundred five billion, eight hundred fifty-three million, five hundred eighty thousand, six hundred twenty-five".