532645409088 has 336 divisors, whose sum is σ = 1763882964480. Its totient is φ = 158237743104.

The previous prime is 532645409077. The next prime is 532645409111. The reversal of 532645409088 is 880904546235.

532645409088 is a `hidden beast` number, since 5 + 3 + 2 + 6 + 4 + 540 + 90 + 8 + 8 = 666.

It is a super-2 number, since 2×532645409088² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

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, 5817681 + ... + 5908527.

It is an arithmetic number, because the mean of its divisors is an integer number (5249651680).

Almost surely, 2^532645409088 is an apocalyptic number.

532645409088 is a gapful number since it is divisible by the number (58) 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 532645409088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881941482240).

532645409088 is an abundant number, since it is smaller than the sum of its proper divisors (1231237555392).

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

532645409088 is a wasteful number, since it uses less digits than its factorization.

532645409088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90916 (or 90894 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 532645409088 in words is "five hundred thirty-two billion, six hundred forty-five million, four hundred nine thousand, eighty-eight".