8008067980800 has 1200 divisors, whose sum is σ = 32466092416560. Its totient is φ = 1940438384640.

The previous prime is 8008067980751. The next prime is 8008067980807. The reversal of 8008067980800 is 80897608008.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×8008067980800² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8008067980807) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 511134567 + ... + 511150233.

Almost surely, 2^{8008067980800} is an apocalyptic number.

8008067980800 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 8008067980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16233046208280).

8008067980800 is an abundant number, since it is smaller than the sum of its proper divisors (24458024435760).

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

8008067980800 is a wasteful number, since it uses less digits than its factorization.

8008067980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15753 (or 15723 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 8008067980800 in words is "eight trillion, eight billion, sixty-seven million, nine hundred eighty thousand, eight hundred".