80429542656 has 288 divisors, whose sum is σ = 246300364800. Its totient is φ = 23131422720.

The previous prime is 80429542591. The next prime is 80429542681. The reversal of 80429542656 is 65624592408.

It is a super-2 number, since 2×80429542656² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 80429542599 and 80429542608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7684755 + ... + 7695213.

It is an arithmetic number, because the mean of its divisors is an integer number (855209600).

Almost surely, 2^80429542656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80429542656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123150182400).

80429542656 is an abundant number, since it is smaller than the sum of its proper divisors (165870822144).

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

80429542656 is a wasteful number, since it uses less digits than its factorization.

80429542656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10545 (or 10531 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 51.

It can be divided in two parts, 804295 and 42656, that added together give a triangular number (846951 = T₁₃₀₁).

The spelling of 80429542656 in words is "eighty billion, four hundred twenty-nine million, five hundred forty-two thousand, six hundred fifty-six".