536577841800000 has 10080 divisors, whose sum is σ = 2827942471347840. Its totient is φ = 98761420800000.

The previous prime is 536577841799981. The next prime is 536577841800047. The reversal of 536577841800000 is 8148775635.

It is a happy number.

536577841800000 is a `hidden beast` number, since 53 + 6 + 577 + 8 + 4 + 18 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (10080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 536577841800000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1439 ways as a sum of consecutive naturals, for example, 3291888599919 + ... + 3291888600081.

It is an arithmetic number, because the mean of its divisors is an integer number (280549848348).

Almost surely, 2^{536577841800000} is an apocalyptic number.

536577841800000 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 536577841800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413971235673920).

536577841800000 is an abundant number, since it is smaller than the sum of its proper divisors (2291364629547840).

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

536577841800000 is a wasteful number, since it uses less digits than its factorization.

536577841800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 536577841800000 in words is "five hundred thirty-six trillion, five hundred seventy-seven billion, eight hundred forty-one million, eight hundred thousand".