536161418100 has 864 divisors, whose sum is σ = 2188485761280. Its totient is φ = 110215987200.

The previous prime is 536161418059. The next prime is 536161418113. The reversal of 536161418100 is 1814161635.

It is a happy number.

536161418100 is a `hidden beast` number, since 5 + 3 + 616 + 14 + 18 + 10 + 0 = 666.

It is a super-2 number, since 2×536161418100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 221828092 + ... + 221830508.

Almost surely, 2^536161418100 is an apocalyptic number.

536161418100 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 536161418100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094242880640).

536161418100 is an abundant number, since it is smaller than the sum of its proper divisors (1652324343180).

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

536161418100 is a wasteful number, since it uses less digits than its factorization.

536161418100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2566 (or 2542 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Adding to 536161418100 its reverse (1814161635), we get a palindrome (537975579735).

The spelling of 536161418100 in words is "five hundred thirty-six billion, one hundred sixty-one million, four hundred eighteen thousand, one hundred".