536529315456 has 512 divisors, whose sum is σ = 1770197760000. Its totient is φ = 158985732096.

The previous prime is 536529315431. The next prime is 536529315467. The reversal of 536529315456 is 654513925635.

536529315456 is a `hidden beast` number, since 5 + 3 + 6 + 5 + 2 + 93 + 1 + 545 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 583818165 + ... + 583819083.

It is an arithmetic number, because the mean of its divisors is an integer number (3457417500).

Almost surely, 2^536529315456 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 536529315456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885098880000).

536529315456 is an abundant number, since it is smaller than the sum of its proper divisors (1233668444544).

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

536529315456 is a wasteful number, since it uses less digits than its factorization.

536529315456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501 (or 1483 counting only the distinct ones).

The product of its digits is 14580000, while the sum is 54.

The spelling of 536529315456 in words is "five hundred thirty-six billion, five hundred twenty-nine million, three hundred fifteen thousand, four hundred fifty-six".