791126553600 has 792 divisors, whose sum is σ = 2937416915160. Its totient is φ = 203292672000.

The previous prime is 791126553589. The next prime is 791126553601. The reversal of 791126553600 is 6355621197.

791126553600 is a `hidden beast` number, since 7 + 9 + 11 + 26 + 5 + 5 + 3 + 600 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 502216003584 + 288910550016 = 708672^2 + 537504^2 .

It is a super-2 number, since 2×791126553600² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (791126553601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 840729130 + ... + 840730070.

Almost surely, 2^791126553600 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 791126553600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468708457580).

791126553600 is an abundant number, since it is smaller than the sum of its proper divisors (2146290361560).

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

791126553600 is a wasteful number, since it uses less digits than its factorization.

791126553600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 791126553600 in words is "seven hundred ninety-one billion, one hundred twenty-six million, five hundred fifty-three thousand, six hundred".