533678987520 has 864 divisors, whose sum is σ = 2216477233152. Its totient is φ = 115914129408.

The previous prime is 533678987519. The next prime is 533678987533. The reversal of 533678987520 is 25789876335.

533678987520 is a `hidden beast` number, since 5 + 3 + 36 + 78 + 9 + 8 + 7 + 520 = 666.

It is a super-3 number, since 3×533678987520³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 309737379 + ... + 309739101.

It is an arithmetic number, because the mean of its divisors is an integer number (2565367168).

Almost surely, 2^533678987520 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 533678987520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108238616576).

533678987520 is an abundant number, since it is smaller than the sum of its proper divisors (1682798245632).

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

533678987520 is a wasteful number, since it uses less digits than its factorization.

533678987520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 533678987520 in words is "five hundred thirty-three billion, six hundred seventy-eight million, nine hundred eighty-seven thousand, five hundred twenty".