578801525760 has 1056 divisors, whose sum is σ = 2180736110592. Its totient is φ = 141628538880.

The previous prime is 578801525749. The next prime is 578801525761. The reversal of 578801525760 is 67525108875.

578801525760 is a `hidden beast` number, since 57 + 8 + 8 + 0 + 1 + 525 + 7 + 60 = 666.

It is a super-2 number, since 2×578801525760² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 578801525697 and 578801525706.

It is not an unprimeable number, because it can be changed into a prime (578801525761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2484126604 + ... + 2484126836.

Almost surely, 2^578801525760 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 578801525760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090368055296).

578801525760 is an abundant number, since it is smaller than the sum of its proper divisors (1601934584832).

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

578801525760 is a wasteful number, since it uses less digits than its factorization.

578801525760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 54.

The spelling of 578801525760 in words is "five hundred seventy-eight billion, eight hundred one million, five hundred twenty-five thousand, seven hundred sixty".