5291849102400 has 504 divisors, whose sum is σ = 22291544708160. Its totient is φ = 1209564887040.

The previous prime is 5291849102339. The next prime is 5291849102401. The reversal of 5291849102400 is 42019481925.

It is a happy number.

5291849102400 is a `hidden beast` number, since 52 + 9 + 184 + 9 + 10 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-4 number, since 4×5291849102400⁴ (a number of 52 digits) contains 4444 as substring.

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 (5291849102401) 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, 1749406 + ... + 3693794.

Almost surely, 2^{5291849102400} is an apocalyptic number.

5291849102400 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 5291849102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11145772354080).

5291849102400 is an abundant number, since it is smaller than the sum of its proper divisors (16999695605760).

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

5291849102400 is a wasteful number, since it uses less digits than its factorization.

5291849102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944433 (or 1944406 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 5291849102400 in words is "five trillion, two hundred ninety-one billion, eight hundred forty-nine million, one hundred two thousand, four hundred".