80212569840 has 560 divisors, whose sum is σ = 303060394560. Its totient is φ = 19617914880.

The previous prime is 80212569839. The next prime is 80212569869. The reversal of 80212569840 is 4896521208.

80212569840 is a `hidden beast` number, since 8 + 0 + 2 + 1 + 2 + 569 + 84 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 182716341 + ... + 182716779.

It is an arithmetic number, because the mean of its divisors is an integer number (541179276).

Almost surely, 2^80212569840 is an apocalyptic number.

80212569840 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 80212569840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151530197280).

80212569840 is an abundant number, since it is smaller than the sum of its proper divisors (222847824720).

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

80212569840 is a wasteful number, since it uses less digits than its factorization.

80212569840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 80212569840 in words is "eighty billion, two hundred twelve million, five hundred sixty-nine thousand, eight hundred forty".