578130213600 has 216 divisors, whose sum is σ = 2040096534840. Its totient is φ = 154057282560.

The previous prime is 578130213581. The next prime is 578130213607. The reversal of 578130213600 is 6312031875.

578130213600 is a `hidden beast` number, since 5 + 7 + 8 + 1 + 30 + 2 + 13 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (578130213607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10246266 + ... + 10302534.

It is an arithmetic number, because the mean of its divisors is an integer number (9444891365).

Almost surely, 2^578130213600 is an apocalyptic number.

578130213600 is a gapful number since it is divisible by the number (50) 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 578130213600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020048267420).

578130213600 is an abundant number, since it is smaller than the sum of its proper divisors (1461966321240).

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

578130213600 is a wasteful number, since it uses less digits than its factorization.

578130213600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57722 (or 57706 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 578130213600 in words is "five hundred seventy-eight billion, one hundred thirty million, two hundred thirteen thousand, six hundred".