5261991321600 has 1008 divisors, whose sum is σ = 20774475994272. Its totient is φ = 1264889364480.

The previous prime is 5261991321589. The next prime is 5261991321617. The reversal of 5261991321600 is 61231991625.

5261991321600 is a `hidden beast` number, since 5 + 2 + 6 + 1 + 9 + 9 + 1 + 32 + 1 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1030346247 + ... + 1030351353.

Almost surely, 2^{5261991321600} is an apocalyptic number.

5261991321600 is a gapful number since it is divisible by the number (50) 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 5261991321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10387237997136).

5261991321600 is an abundant number, since it is smaller than the sum of its proper divisors (15512484672672).

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

5261991321600 is a wasteful number, since it uses less digits than its factorization.

5261991321600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5205 (or 5173 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 5261991321600 in words is "five trillion, two hundred sixty-one billion, nine hundred ninety-one million, three hundred twenty-one thousand, six hundred".