788528837250 has 2304 divisors, whose sum is σ = 3167572262400. Its totient is φ = 143700480000.

The previous prime is 788528837227. The next prime is 788528837351. The reversal of 788528837250 is 52738825887.

788528837250 is a `hidden beast` number, since 7 + 8 + 8 + 528 + 83 + 7 + 25 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 1151 ways as a sum of consecutive naturals, for example, 12926702220 + ... + 12926702280.

It is an arithmetic number, because the mean of its divisors is an integer number (1374814350).

Almost surely, 2^788528837250 is an apocalyptic number.

788528837250 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 788528837250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583786131200).

788528837250 is an abundant number, since it is smaller than the sum of its proper divisors (2379043425150).

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

788528837250 is a wasteful number, since it uses less digits than its factorization.

788528837250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 60211200, while the sum is 63.

The spelling of 788528837250 in words is "seven hundred eighty-eight billion, five hundred twenty-eight million, eight hundred thirty-seven thousand, two hundred fifty".