850202196480 has 2560 divisors, whose sum is σ = 3959746560000. Its totient is φ = 168106917888.

The previous prime is 850202196479. The next prime is 850202196533. The reversal of 850202196480 is 84691202058.

850202196480 is a `hidden beast` number, since 8 + 502 + 0 + 2 + 1 + 9 + 64 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10762053081 + ... + 10762053159.

It is an arithmetic number, because the mean of its divisors is an integer number (1546776000).

Almost surely, 2^850202196480 is an apocalyptic number.

850202196480 is a gapful number since it is divisible by the number (80) 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 850202196480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1979873280000).

850202196480 is an abundant number, since it is smaller than the sum of its proper divisors (3109544363520).

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

850202196480 is a wasteful number, since it uses less digits than its factorization.

850202196480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 850202196480 in words is "eight hundred fifty billion, two hundred two million, one hundred ninety-six thousand, four hundred eighty".