785455568352 has 384 divisors, whose sum is σ = 2872799032320. Its totient is φ = 203243489280.

The previous prime is 785455568327. The next prime is 785455568357. The reversal of 785455568352 is 253865554587.

It is a happy number.

785455568352 is a `hidden beast` number, since 7 + 8 + 5 + 45 + 556 + 8 + 35 + 2 = 666.

785455568352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 785455568352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (785455568357) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4072827 + ... + 4261317.

It is an arithmetic number, because the mean of its divisors is an integer number (7481247480).

Almost surely, 2^785455568352 is an apocalyptic number.

785455568352 is a gapful number since it is divisible by the number (72) 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 785455568352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436399516160).

785455568352 is an abundant number, since it is smaller than the sum of its proper divisors (2087343463968).

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

785455568352 is a wasteful number, since it uses less digits than its factorization.

785455568352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188583 (or 188569 counting only the distinct ones).

The product of its digits is 201600000, while the sum is 63.

The spelling of 785455568352 in words is "seven hundred eighty-five billion, four hundred fifty-five million, five hundred sixty-eight thousand, three hundred fifty-two".