80264354876160 has 1152 divisors, whose sum is σ = 326842373652480. Its totient is φ = 16327774568448.

The previous prime is 80264354876143. The next prime is 80264354876203. The reversal of 80264354876160 is 6167845346208.

It is a happy number.

It is a super-2 number, since 2×80264354876160² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 80264354876094 and 80264354876103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7671251089 + ... + 7671261551.

It is an arithmetic number, because the mean of its divisors is an integer number (283717338240).

Almost surely, 2^{80264354876160} is an apocalyptic number.

80264354876160 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 80264354876160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163421186826240).

80264354876160 is an abundant number, since it is smaller than the sum of its proper divisors (246578018776320).

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

80264354876160 is a wasteful number, since it uses less digits than its factorization.

80264354876160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11293 (or 11279 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 60.

The spelling of 80264354876160 in words is "eighty trillion, two hundred sixty-four billion, three hundred fifty-four million, eight hundred seventy-six thousand, one hundred sixty".