78226126560 has 144 divisors (see below), whose sum is σ = 276151861440. Its totient is φ = 20140968960.

The previous prime is 78226126543. The next prime is 78226126567. The reversal of 78226126560 is 6562162287.

78226126560 is a `hidden beast` number, since 7 + 8 + 2 + 2 + 61 + 26 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×78226126560² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78226126567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 894856 + ... + 978375.

It is an arithmetic number, because the mean of its divisors is an integer number (1917721260).

Almost surely, 2^78226126560 is an apocalyptic number.

It is an amenable number.

78226126560 is an abundant number, since it is smaller than the sum of its proper divisors (197925734880).

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

78226126560 is a wasteful number, since it uses less digits than its factorization.

78226126560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1873281 (or 1873270 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 78226126560 in words is "seventy-eight billion, two hundred twenty-six million, one hundred twenty-six thousand, five hundred sixty".