536241521088 has 1512 divisors, whose sum is σ = 2092766523120. Its totient is φ = 130427781120.

The previous prime is 536241521077. The next prime is 536241521141. The reversal of 536241521088 is 880125142635.

536241521088 is a `hidden beast` number, since 5 + 3 + 6 + 2 + 41 + 521 + 0 + 88 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5528263056 + ... + 5528263152.

Almost surely, 2^536241521088 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 536241521088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1046383261560).

536241521088 is an abundant number, since it is smaller than the sum of its proper divisors (1556525002032).

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

536241521088 is a wasteful number, since it uses less digits than its factorization.

536241521088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 536241521088 in words is "five hundred thirty-six billion, two hundred forty-one million, five hundred twenty-one thousand, eighty-eight".