5169491020800 has 1584 divisors, whose sum is σ = 19853492072960. Its totient is φ = 1332226621440.

The previous prime is 5169491020781. The next prime is 5169491020807. The reversal of 5169491020800 is 80201949615.

5169491020800 is a `hidden beast` number, since 5 + 1 + 69 + 491 + 0 + 20 + 80 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5169491020807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32926694322 + ... + 32926694478.

Almost surely, 2^{5169491020800} is an apocalyptic number.

5169491020800 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 5169491020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9926746036480).

5169491020800 is an abundant number, since it is smaller than the sum of its proper divisors (14684001052160).

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

5169491020800 is a wasteful number, since it uses less digits than its factorization.

5169491020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 5169491020800 in words is "five trillion, one hundred sixty-nine billion, four hundred ninety-one million, twenty thousand, eight hundred".