850209396624 has 225 divisors, whose sum is σ = 2863290729387. Its totient is φ = 242850581568.

The previous prime is 850209396611. The next prime is 850209396661. The reversal of 850209396624 is 426693902058.

It is a happy number.

The square root of 850209396624 is 922068.

It is a perfect power (a square), and thus also a powerful number.

850209396624 is a `hidden beast` number, since 8 + 5 + 0 + 2 + 0 + 9 + 3 + 9 + 6 + 624 = 666.

It is a super-2 number, since 2×850209396624² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 232359307 + ... + 232362965.

Almost surely, 2^850209396624 is an apocalyptic number.

850209396624 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

850209396624 is the 922068-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 850209396624

850209396624 is an abundant number, since it is smaller than the sum of its proper divisors (2013081332763).

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

850209396624 is an frugal number, since it uses more digits than its factorization.

850209396624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7352 (or 3671 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 850209396624 in words is "eight hundred fifty billion, two hundred nine million, three hundred ninety-six thousand, six hundred twenty-four".