80670135011004 has 144 divisors (see below), whose sum is σ = 254323877633280. Its totient is φ = 20945804497920.

The previous prime is 80670135010987. The next prime is 80670135011023. The reversal of 80670135011004 is 40011053107608.

80670135011004 is a `hidden beast` number, since 80 + 6 + 70 + 1 + 3 + 501 + 1 + 0 + 0 + 4 = 666.

80670135011004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×80670135011004² (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 80670135011004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2578732 + ... + 12961100.

It is an arithmetic number, because the mean of its divisors is an integer number (1766138039120).

Almost surely, 2^{80670135011004} is an apocalyptic number.

80670135011004 is a gapful number since it is divisible by the number (84) 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 80670135011004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127161938816640).

80670135011004 is an abundant number, since it is smaller than the sum of its proper divisors (173653742622276).

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

80670135011004 is a wasteful number, since it uses less digits than its factorization.

80670135011004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10385200 (or 10385195 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 80670135011004 in words is "eighty trillion, six hundred seventy billion, one hundred thirty-five million, eleven thousand, four".