801106225920 has 3456 divisors, whose sum is σ = 4031828656128. Its totient is φ = 146910412800.

The previous prime is 801106225901. The next prime is 801106225939. The reversal of 801106225920 is 29522601108.

801106225920 is a `hidden beast` number, since 8 + 0 + 1 + 1 + 0 + 62 + 2 + 592 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (801106225901) and next prime (801106225939).

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9651882199 + ... + 9651882281.

It is an arithmetic number, because the mean of its divisors is an integer number (1166617088).

Almost surely, 2^801106225920 is an apocalyptic number.

801106225920 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 801106225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015914328064).

801106225920 is an abundant number, since it is smaller than the sum of its proper divisors (3230722430208).

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

801106225920 is a wasteful number, since it uses less digits than its factorization.

801106225920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 801106225920 in words is "eight hundred one billion, one hundred six million, two hundred twenty-five thousand, nine hundred twenty".