5197665110400 has 3072 divisors, whose sum is σ = 23916659712000. Its totient is φ = 1076029194240.

The previous prime is 5197665110383. The next prime is 5197665110441. The reversal of 5197665110400 is 40115667915.

5197665110400 is a `hidden beast` number, since 5 + 1 + 9 + 76 + 65 + 110 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 33106147122 + ... + 33106147278.

It is an arithmetic number, because the mean of its divisors is an integer number (7785371000).

Almost surely, 2^{5197665110400} is an apocalyptic number.

5197665110400 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 5197665110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11958329856000).

5197665110400 is an abundant number, since it is smaller than the sum of its proper divisors (18718994601600).

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

5197665110400 is a wasteful number, since it uses less digits than its factorization.

5197665110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 5197665110400 in words is "five trillion, one hundred ninety-seven billion, six hundred sixty-five million, one hundred ten thousand, four hundred".