535470649560 has 1792 divisors, whose sum is σ = 2387321856000. Its totient is φ = 106991539200.

The previous prime is 535470649543. The next prime is 535470649583. The reversal of 535470649560 is 65946074535.

535470649560 is a `hidden beast` number, since 5 + 3 + 5 + 4 + 70 + 6 + 4 + 9 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 535470649497 and 535470649506.

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 447 ways as a sum of consecutive naturals, for example, 3410641002 + ... + 3410641158.

Almost surely, 2^535470649560 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 535470649560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193660928000).

535470649560 is an abundant number, since it is smaller than the sum of its proper divisors (1851851206440).

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

535470649560 is a wasteful number, since it uses less digits than its factorization.

535470649560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

It can be divided in two parts, 535470 and 649560, that added together give a triangular number (1185030 = T₁₅₃₉).

The spelling of 535470649560 in words is "five hundred thirty-five billion, four hundred seventy million, six hundred forty-nine thousand, five hundred sixty".