850496712457952 has 384 divisors, whose sum is σ = 2117342747520000. Its totient is φ = 335009468989440.

The previous prime is 850496712457949. The next prime is 850496712457967. The reversal of 850496712457952 is 259754217694058.

850496712457952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 850496712457952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1530226568 + ... + 1530782264.

It is an arithmetic number, because the mean of its divisors is an integer number (5513913405000).

Almost surely, 2^{850496712457952} is an apocalyptic number.

850496712457952 is a gapful number since it is divisible by the number (82) 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 850496712457952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058671373760000).

850496712457952 is an abundant number, since it is smaller than the sum of its proper divisors (1266846035062048).

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

850496712457952 is a wasteful number, since it uses less digits than its factorization.

850496712457952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555967 (or 555945 counting only the distinct ones).

The product of its (nonzero) digits is 1524096000, while the sum is 74.

The spelling of 850496712457952 in words is "eight hundred fifty trillion, four hundred ninety-six billion, seven hundred twelve million, four hundred fifty-seven thousand, nine hundred fifty-two".