806101226219520 has 6912 divisors, whose sum is σ = 3797470866309120. Its totient is φ = 154506756096000.

The previous prime is 806101226219519. The next prime is 806101226219521. The reversal of 806101226219520 is 25912622101608.

806101226219520 is a `hidden beast` number, since 8 + 0 + 6 + 1 + 0 + 12 + 2 + 621 + 9 + 5 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (806101226219519) and next prime (806101226219521).

It is a super-2 number, since 2×806101226219520² (a number of 31 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (806101226219521) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 6347253749697 + ... + 6347253749823.

It is an arithmetic number, because the mean of its divisors is an integer number (549402613760).

Almost surely, 2^{806101226219520} is an apocalyptic number.

806101226219520 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 806101226219520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898735433154560).

806101226219520 is an abundant number, since it is smaller than the sum of its proper divisors (2991369640089600).

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

806101226219520 is a wasteful number, since it uses less digits than its factorization.

806101226219520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 806101226219520 in words is "eight hundred six trillion, one hundred one billion, two hundred twenty-six million, two hundred nineteen thousand, five hundred twenty".