80612273952 has 432 divisors, whose sum is σ = 278728823520. Its totient is φ = 22600311552.

The previous prime is 80612273933. The next prime is 80612273957. The reversal of 80612273952 is 25937221608.

80612273952 is a `hidden beast` number, since 8 + 0 + 612 + 27 + 3 + 9 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a junction number, because it is equal to n+sod(n) for n = 80612273898 and 80612273907.

It is not an unprimeable number, because it can be changed into a prime (80612273957) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 147371343 + ... + 147371889.

It is an arithmetic number, because the mean of its divisors is an integer number (645205610).

Almost surely, 2^80612273952 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 80612273952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139364411760).

80612273952 is an abundant number, since it is smaller than the sum of its proper divisors (198116549568).

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

80612273952 is a wasteful number, since it uses less digits than its factorization.

80612273952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 80612273952 in words is "eighty billion, six hundred twelve million, two hundred seventy-three thousand, nine hundred fifty-two".