78553766656512 has 800 divisors, whose sum is σ = 270970295481600. Its totient is φ = 22192215293952.

The previous prime is 78553766656493. The next prime is 78553766656529. The reversal of 78553766656512 is 21565666735587.

It is a super-2 number, since 2×78553766656512² (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 79 ways as a sum of consecutive naturals, for example, 24788186064 + ... + 24788189232.

It is an arithmetic number, because the mean of its divisors is an integer number (338712869352).

Almost surely, 2^{78553766656512} is an apocalyptic number.

78553766656512 is a gapful number since it is divisible by the number (72) 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 78553766656512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135485147740800).

78553766656512 is an abundant number, since it is smaller than the sum of its proper divisors (192416528825088).

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

78553766656512 is a wasteful number, since it uses less digits than its factorization.

78553766656512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4138 (or 4113 counting only the distinct ones).

The product of its digits is 1905120000, while the sum is 72.

The spelling of 78553766656512 in words is "seventy-eight trillion, five hundred fifty-three billion, seven hundred sixty-six million, six hundred fifty-six thousand, five hundred twelve".