80753605789248 has 168 divisors, whose sum is σ = 264545692619520. Its totient is φ = 23071277537280.

The previous prime is 80753605789189. The next prime is 80753605789303. The reversal of 80753605789248 is 84298750635708.

80753605789248 is a `hidden beast` number, since 8 + 0 + 7 + 5 + 3 + 6 + 0 + 578 + 9 + 2 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×80753605789248² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79810668 + ... + 80816148.

Almost surely, 2^{80753605789248} is an apocalyptic number.

It is an amenable number.

80753605789248 is an abundant number, since it is smaller than the sum of its proper divisors (183792086830272).

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

80753605789248 is a wasteful number, since it uses less digits than its factorization.

80753605789248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025425 (or 1025412 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 72.

The spelling of 80753605789248 in words is "eighty trillion, seven hundred fifty-three billion, six hundred five million, seven hundred eighty-nine thousand, two hundred forty-eight".