78152821056 has 448 divisors, whose sum is σ = 253471680000. Its totient is φ = 23503011840.

The previous prime is 78152821051. The next prime is 78152821067. The reversal of 78152821056 is 65012825187.

78152821056 is a `hidden beast` number, since 78 + 1 + 528 + 2 + 1 + 0 + 56 = 666.

It is a super-2 number, since 2×78152821056² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78152821051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 169528666 + ... + 169529126.

It is an arithmetic number, because the mean of its divisors is an integer number (565785000).

Almost surely, 2^78152821056 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 78152821056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126735840000).

78152821056 is an abundant number, since it is smaller than the sum of its proper divisors (175318858944).

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

78152821056 is a wasteful number, since it uses less digits than its factorization.

78152821056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 78152821056 in words is "seventy-eight billion, one hundred fifty-two million, eight hundred twenty-one thousand, fifty-six".