788521949712 has 960 divisors, whose sum is σ = 2846967782400. Its totient is φ = 207712512000.

The previous prime is 788521949687. The next prime is 788521949753. The reversal of 788521949712 is 217949125887.

788521949712 is a `hidden beast` number, since 7 + 8 + 8 + 521 + 9 + 4 + 97 + 12 = 666.

It is a super-2 number, since 2×788521949712² (a number of 25 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 788521949712.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3141521587 + ... + 3141521837.

It is an arithmetic number, because the mean of its divisors is an integer number (2965591440).

Almost surely, 2^788521949712 is an apocalyptic number.

788521949712 is a gapful number since it is divisible by the number (72) 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 788521949712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423483891200).

788521949712 is an abundant number, since it is smaller than the sum of its proper divisors (2058445832688).

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

788521949712 is a wasteful number, since it uses less digits than its factorization.

788521949712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 462 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 63.

The spelling of 788521949712 in words is "seven hundred eighty-eight billion, five hundred twenty-one million, nine hundred forty-nine thousand, seven hundred twelve".