536769884152320 has 960 divisors, whose sum is σ = 2223825098584320. Its totient is φ = 109347257843712.

The previous prime is 536769884152279. The next prime is 536769884152351. The reversal of 536769884152320 is 23251488967635.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×536769884152320² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 139980909 + ... + 143764371.

It is an arithmetic number, because the mean of its divisors is an integer number (2316484477692).

It is a 1-persistent number, because it is pandigital, but 2⋅536769884152320 = 1073539768304640 is not.

Almost surely, 2^{536769884152320} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 536769884152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111912549292160).

536769884152320 is an abundant number, since it is smaller than the sum of its proper divisors (1687055214432000).

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

536769884152320 is a wasteful number, since it uses less digits than its factorization.

536769884152320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3783545 (or 3783522 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 69.

The spelling of 536769884152320 in words is "five hundred thirty-six trillion, seven hundred sixty-nine billion, eight hundred eighty-four million, one hundred fifty-two thousand, three hundred twenty".