8051431277120 has 896 divisors, whose sum is σ = 26405086371840. Its totient is φ = 2263555768320.

The previous prime is 8051431277117. The next prime is 8051431277173. The reversal of 8051431277120 is 217721341508.

It is a super-2 number, since 2×8051431277120² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 706694144 + ... + 706705536.

Almost surely, 2^{8051431277120} is an apocalyptic number.

8051431277120 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 8051431277120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13202543185920).

8051431277120 is an abundant number, since it is smaller than the sum of its proper divisors (18353655094720).

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

8051431277120 is a wasteful number, since it uses less digits than its factorization.

8051431277120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11523 (or 11513 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 41.

The spelling of 8051431277120 in words is "eight trillion, fifty-one billion, four hundred thirty-one million, two hundred seventy-seven thousand, one hundred twenty".