801111655680 has 576 divisors, whose sum is σ = 3107728995840. Its totient is φ = 171690688512.

The previous prime is 801111655639. The next prime is 801111655693. The reversal of 801111655680 is 86556111108.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 126574756 + ... + 126581084.

It is an arithmetic number, because the mean of its divisors is an integer number (5395362840).

Almost surely, 2^801111655680 is an apocalyptic number.

801111655680 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 801111655680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553864497920).

801111655680 is an abundant number, since it is smaller than the sum of its proper divisors (2306617340160).

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

801111655680 is a wasteful number, since it uses less digits than its factorization.

801111655680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6654 (or 6640 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 42.

Adding to 801111655680 its reverse (86556111108), we get a palindrome (887667766788).

The spelling of 801111655680 in words is "eight hundred one billion, one hundred eleven million, six hundred fifty-five thousand, six hundred eighty".