536599405440 has 768 divisors, whose sum is σ = 2194257162240. Its totient is φ = 118244966400.

The previous prime is 536599405393. The next prime is 536599405481. The reversal of 536599405440 is 44504995635.

536599405440 is a `hidden beast` number, since 5 + 3 + 6 + 5 + 9 + 94 + 0 + 544 + 0 = 666.

It is a congruent number.

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, 413722872 + ... + 413724168.

It is an arithmetic number, because the mean of its divisors is an integer number (2857105680).

Almost surely, 2^536599405440 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 536599405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097128581120).

536599405440 is an abundant number, since it is smaller than the sum of its proper divisors (1657657756800).

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

536599405440 is a wasteful number, since it uses less digits than its factorization.

536599405440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 536599405440 in words is "five hundred thirty-six billion, five hundred ninety-nine million, four hundred five thousand, four hundred forty".