78589751520 has 768 divisors, whose sum is σ = 313267046400. Its totient is φ = 16488235008.

The previous prime is 78589751519. The next prime is 78589751567. The reversal of 78589751520 is 2515798587.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 120351514 + ... + 120352166.

It is an arithmetic number, because the mean of its divisors is an integer number (407899800).

Almost surely, 2^78589751520 is an apocalyptic number.

78589751520 is a gapful number since it is divisible by the number (70) 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 78589751520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156633523200).

78589751520 is an abundant number, since it is smaller than the sum of its proper divisors (234677294880).

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

78589751520 is a wasteful number, since it uses less digits than its factorization.

78589751520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 57.

The spelling of 78589751520 in words is "seventy-eight billion, five hundred eighty-nine million, seven hundred fifty-one thousand, five hundred twenty".