536116020442320 has 320 divisors, whose sum is σ = 1683198268416000. Its totient is φ = 141145681459200.

The previous prime is 536116020442291. The next prime is 536116020442339. The reversal of 536116020442320 is 23244020611635.

It is a super-2 number, since 2×536116020442320² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24365576439 + ... + 24365598441.

It is an arithmetic number, because the mean of its divisors is an integer number (5259994588800).

Almost surely, 2^{536116020442320} 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 536116020442320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841599134208000).

536116020442320 is an abundant number, since it is smaller than the sum of its proper divisors (1147082247973680).

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

536116020442320 is a wasteful number, since it uses less digits than its factorization.

536116020442320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24938 (or 24932 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 536116020442320 in words is "five hundred thirty-six trillion, one hundred sixteen billion, twenty million, four hundred forty-two thousand, three hundred twenty".