78270521616 has 720 divisors, whose sum is σ = 282796899840. Its totient is φ = 20849633280.

The previous prime is 78270521501. The next prime is 78270521629. The reversal of 78270521616 is 61612507287.

78270521616 is a `hidden beast` number, since 7 + 8 + 2 + 7 + 0 + 5 + 21 + 616 = 666.

It is a super-2 number, since 2×78270521616² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 171270060 + ... + 171270516.

It is an arithmetic number, because the mean of its divisors is an integer number (392773472).

Almost surely, 2^78270521616 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 78270521616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141398449920).

78270521616 is an abundant number, since it is smaller than the sum of its proper divisors (204526378224).

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

78270521616 is a wasteful number, since it uses less digits than its factorization.

78270521616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 78270521616 in words is "seventy-eight billion, two hundred seventy million, five hundred twenty-one thousand, six hundred sixteen".