536411155600 has 240 divisors, whose sum is σ = 1395091311120. Its totient is φ = 197755084800.

The previous prime is 536411155589. The next prime is 536411155603. The reversal of 536411155600 is 6551114635.

It can be written as a sum of positive squares in 24 ways, for example, as 217719292816 + 318691862784 = 466604^2 + 564528^2 .

It is a super-2 number, since 2×536411155600² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 536411155600.

It is not an unprimeable number, because it can be changed into a prime (536411155603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22735810 + ... + 22759390.

It is an arithmetic number, because the mean of its divisors is an integer number (5812880463).

Almost surely, 2^536411155600 is an apocalyptic number.

536411155600 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 536411155600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697545655560).

536411155600 is an abundant number, since it is smaller than the sum of its proper divisors (858680155520).

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

536411155600 is a wasteful number, since it uses less digits than its factorization.

536411155600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23718 (or 23707 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 37.

The spelling of 536411155600 in words is "five hundred thirty-six billion, four hundred eleven million, one hundred fifty-five thousand, six hundred".