7925778956096 has 168 divisors, whose sum is σ = 16954727396040. Its totient is φ = 3669522841600.

The previous prime is 7925778956089. The next prime is 7925778956101. The reversal of 7925778956096 is 6906598775297.

It can be written as a sum of positive squares in 4 ways, for example, as 288515082496 + 7637263873600 = 537136^2 + 2763560^2 .

It is a super-2 number, since 2×7925778956096² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7925778956096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264875216 + ... + 264905136.

It is an arithmetic number, because the mean of its divisors is an integer number (100920996405).

Almost surely, 2^{7925778956096} 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 7925778956096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8477363698020).

7925778956096 is an abundant number, since it is smaller than the sum of its proper divisors (9028948439944).

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

7925778956096 is a wasteful number, since it uses less digits than its factorization.

7925778956096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30121 (or 30052 counting only the distinct ones).

The product of its (nonzero) digits is 3600676800, while the sum is 80.

Adding to 7925778956096 its sum of digits (80), we get a square (7925778956176 = 2815276²).

The spelling of 7925778956096 in words is "seven trillion, nine hundred twenty-five billion, seven hundred seventy-eight million, nine hundred fifty-six thousand, ninety-six".