7085456050400 has 576 divisors, whose sum is σ = 22026526212096. Its totient is φ = 2165087232000.

The previous prime is 7085456050381. The next prime is 7085456050403. The reversal of 7085456050400 is 40506545807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7085456050403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1044895010 + ... + 1044901790.

It is an arithmetic number, because the mean of its divisors is an integer number (38240496896).

Almost surely, 2^{7085456050400} is an apocalyptic number.

7085456050400 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 7085456050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11013263106048).

7085456050400 is an abundant number, since it is smaller than the sum of its proper divisors (14941070161696).

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

7085456050400 is a wasteful number, since it uses less digits than its factorization.

7085456050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7315 (or 7302 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 44.

The spelling of 7085456050400 in words is "seven trillion, eighty-five billion, four hundred fifty-six million, fifty thousand, four hundred".