80006855040 has 576 divisors, whose sum is σ = 322922583360. Its totient is φ = 18199609344.

The previous prime is 80006855039. The next prime is 80006855053. The reversal of 80006855040 is 4055860008.

It is a happy number.

80006855040 is a `hidden beast` number, since 8 + 0 + 0 + 0 + 68 + 550 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 80006854986 and 80006855004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 72535129 + ... + 72536231.

It is an arithmetic number, because the mean of its divisors is an integer number (560629485).

Almost surely, 2^80006855040 is an apocalyptic number.

80006855040 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 80006855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161461291680).

80006855040 is an abundant number, since it is smaller than the sum of its proper divisors (242915728320).

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

80006855040 is a wasteful number, since it uses less digits than its factorization.

80006855040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 80006855040 in words is "eighty billion, six million, eight hundred fifty-five thousand, forty".