578153857680 has 1280 divisors, whose sum is σ = 2442700800000. Its totient is φ = 125463582720.

The previous prime is 578153857679. The next prime is 578153857703. The reversal of 578153857680 is 86758351875.

578153857680 is a `hidden beast` number, since 5 + 7 + 8 + 1 + 53 + 8 + 576 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1525471731 + ... + 1525472109.

It is an arithmetic number, because the mean of its divisors is an integer number (1908360000).

Almost surely, 2^578153857680 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 578153857680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221350400000).

578153857680 is an abundant number, since it is smaller than the sum of its proper divisors (1864546942320).

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

578153857680 is a wasteful number, since it uses less digits than its factorization.

578153857680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 56448000, while the sum is 63.

The spelling of 578153857680 in words is "five hundred seventy-eight billion, one hundred fifty-three million, eight hundred fifty-seven thousand, six hundred eighty".