801919656000 has 1792 divisors, whose sum is σ = 3271966064640. Its totient is φ = 191600640000.

The previous prime is 801919655993. The next prime is 801919656001. The reversal of 801919656000 is 656919108.

801919656000 is a `hidden beast` number, since 80 + 1 + 9 + 1 + 9 + 6 + 560 + 0 + 0 = 666.

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 (801919656001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6314327937 + ... + 6314328063.

It is an arithmetic number, because the mean of its divisors is an integer number (1825873920).

Almost surely, 2^801919656000 is an apocalyptic number.

801919656000 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 801919656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635983032320).

801919656000 is an abundant number, since it is smaller than the sum of its proper divisors (2470046408640).

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

801919656000 is a wasteful number, since it uses less digits than its factorization.

801919656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 801919656000 in words is "eight hundred one billion, nine hundred nineteen million, six hundred fifty-six thousand".