536406315536 has 240 divisors, whose sum is σ = 1372721515200. Its totient is φ = 200708637696.

The previous prime is 536406315469. The next prime is 536406315551. The reversal of 536406315536 is 635513604635.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141942095 + ... + 141945873.

It is an arithmetic number, because the mean of its divisors is an integer number (5719672980).

Almost surely, 2^536406315536 is an apocalyptic number.

536406315536 is a gapful number since it is divisible by the number (56) 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 536406315536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686360757600).

536406315536 is an abundant number, since it is smaller than the sum of its proper divisors (836315199664).

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

536406315536 is a wasteful number, since it uses less digits than its factorization.

536406315536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4566 (or 4553 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 47.

The spelling of 536406315536 in words is "five hundred thirty-six billion, four hundred six million, three hundred fifteen thousand, five hundred thirty-six".