535428178560 has 1024 divisors, whose sum is σ = 2158695360000. Its totient is φ = 124234629120.

The previous prime is 535428178541. The next prime is 535428178573. The reversal of 535428178560 is 65871824535.

535428178560 is a `hidden beast` number, since 5 + 3 + 5 + 4 + 2 + 8 + 1 + 78 + 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 = 535428178497 and 535428178506.

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, 755187486 + ... + 755188194.

Almost surely, 2^535428178560 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 535428178560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079347680000).

535428178560 is an abundant number, since it is smaller than the sum of its proper divisors (1623267181440).

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

535428178560 is a wasteful number, since it uses less digits than its factorization.

535428178560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 535428178560 in words is "five hundred thirty-five billion, four hundred twenty-eight million, one hundred seventy-eight thousand, five hundred sixty".