535048688534976 has 896 divisors, whose sum is σ = 1978400872857600. Its totient is φ = 137747831316480.

The previous prime is 535048688534957. The next prime is 535048688534999. The reversal of 535048688534976 is 679435886840535.

535048688534976 is a `hidden beast` number, since 5 + 3 + 5 + 0 + 4 + 8 + 6 + 8 + 8 + 534 + 9 + 76 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 535048688534895 and 535048688534904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18368233180 + ... + 18368262308.

Almost surely, 2^{535048688534976} is an apocalyptic number.

535048688534976 is a gapful number since it is divisible by the number (56) 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 535048688534976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989200436428800).

535048688534976 is an abundant number, since it is smaller than the sum of its proper divisors (1443352184322624).

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

535048688534976 is a wasteful number, since it uses less digits than its factorization.

535048688534976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30382 (or 30366 counting only the distinct ones).

The product of its (nonzero) digits is 20901888000, while the sum is 81.

The spelling of 535048688534976 in words is "five hundred thirty-five trillion, forty-eight billion, six hundred eighty-eight million, five hundred thirty-four thousand, nine hundred seventy-six".