801249129088 has 128 divisors (see below), whose sum is σ = 1706934487680. Its totient is φ = 373789937664.

The previous prime is 801249129047. The next prime is 801249129089. The reversal of 801249129088 is 880921942108.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (801249129089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26978695 + ... + 27008377.

It is an arithmetic number, because the mean of its divisors is an integer number (13335425685).

Almost surely, 2^801249129088 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 801249129088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853467243840).

801249129088 is an abundant number, since it is smaller than the sum of its proper divisors (905685358592).

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

801249129088 is a wasteful number, since it uses less digits than its factorization.

801249129088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29946 (or 29934 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 52.

The spelling of 801249129088 in words is "eight hundred one billion, two hundred forty-nine million, one hundred twenty-nine thousand, eighty-eight".