5719152364800 has 864 divisors, whose sum is σ = 23169933696000. Its totient is φ = 1238405898240.

The previous prime is 5719152364789. The next prime is 5719152364801. The reversal of 5719152364800 is 84632519175.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5719152364801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 125103547 + ... + 125149253.

It is a 1-persistent number, because it is pandigital, but 2⋅5719152364800 = 11438304729600 is not.

Almost surely, 2^{5719152364800} is an apocalyptic number.

5719152364800 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 5719152364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11584966848000).

5719152364800 is an abundant number, since it is smaller than the sum of its proper divisors (17450781331200).

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

5719152364800 is a wasteful number, since it uses less digits than its factorization.

5719152364800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45776 (or 45743 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 5719152364800 in words is "five trillion, seven hundred nineteen billion, one hundred fifty-two million, three hundred sixty-four thousand, eight hundred".