801235556352 has 1728 divisors, whose sum is σ = 3181016966400. Its totient is φ = 198985973760.

The previous prime is 801235556299. The next prime is 801235556357. The reversal of 801235556352 is 253655532108.

801235556352 is a `hidden beast` number, since 8 + 0 + 1 + 2 + 3 + 5 + 5 + 5 + 635 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a junction number, because it is equal to n+sod(n) for n = 801235556298 and 801235556307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (801235556357) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7778985933 + ... + 7778986035.

It is an arithmetic number, because the mean of its divisors is an integer number (1840866300).

Almost surely, 2^801235556352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 801235556352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590508483200).

801235556352 is an abundant number, since it is smaller than the sum of its proper divisors (2379781410048).

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

801235556352 is a wasteful number, since it uses less digits than its factorization.

801235556352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 801235556352 in words is "eight hundred one billion, two hundred thirty-five million, five hundred fifty-six thousand, three hundred fifty-two".