78153536128 has 96 divisors (see below), whose sum is σ = 163317242880. Its totient is φ = 37232670720.

The previous prime is 78153536101. The next prime is 78153536129. The reversal of 78153536128 is 82163535187.

It is a super-2 number, since 2×78153536128² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78153536129) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 9248001 + ... + 9256447.

It is an arithmetic number, because the mean of its divisors is an integer number (1701221280).

Almost surely, 2^78153536128 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 78153536128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81658621440).

78153536128 is an abundant number, since it is smaller than the sum of its proper divisors (85163706752).

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

78153536128 is an equidigital number, since it uses as much as digits as its factorization.

78153536128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8586 (or 8533 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 49.

The spelling of 78153536128 in words is "seventy-eight billion, one hundred fifty-three million, five hundred thirty-six thousand, one hundred twenty-eight".