578930999250240 has 5376 divisors, whose sum is σ = 2748833223671808. Its totient is φ = 112635425193984.

The previous prime is 578930999250229. The next prime is 578930999250313. The reversal of 578930999250240 is 42052999039875.

578930999250240 is a `hidden beast` number, since 5 + 7 + 89 + 30 + 9 + 9 + 9 + 2 + 502 + 4 + 0 = 666.

It is a super-2 number, since 2×578930999250240² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 767 ways as a sum of consecutive naturals, for example, 764770143942 + ... + 764770144698.

It is an arithmetic number, because the mean of its divisors is an integer number (511315703808).

Almost surely, 2^{578930999250240} 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 578930999250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374416611835904).

578930999250240 is an abundant number, since it is smaller than the sum of its proper divisors (2169902224421568).

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

578930999250240 is a wasteful number, since it uses less digits than its factorization.

578930999250240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 440899200, while the sum is 72.

The spelling of 578930999250240 in words is "five hundred seventy-eight trillion, nine hundred thirty billion, nine hundred ninety-nine million, two hundred fifty thousand, two hundred forty".