8007125114880 has 1568 divisors, whose sum is σ = 30633211255680. Its totient is φ = 2004033208320.

The previous prime is 8007125114873. The next prime is 8007125114881. The reversal of 8007125114880 is 884115217008.

8007125114880 is a `hidden beast` number, since 8 + 0 + 0 + 7 + 12 + 511 + 48 + 80 = 666.

It is a super-2 number, since 2×8007125114880² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8007125114881) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 61123092415 + ... + 61123092545.

Almost surely, 2^{8007125114880} is an apocalyptic number.

8007125114880 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 8007125114880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15316605627840).

8007125114880 is an abundant number, since it is smaller than the sum of its proper divisors (22626086140800).

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

8007125114880 is an equidigital number, since it uses as much as digits as its factorization.

8007125114880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 45.

The spelling of 8007125114880 in words is "eight trillion, seven billion, one hundred twenty-five million, one hundred fourteen thousand, eight hundred eighty".