578974953053952 has 5400 divisors, whose sum is σ = 2413487486163600. Its totient is φ = 136815732523008.

The previous prime is 578974953053951. The next prime is 578974953053953. The reversal of 578974953053952 is 259350359479875.

578974953053952 is a `hidden beast` number, since 5 + 7 + 8 + 9 + 7 + 49 + 5 + 30 + 539 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (578974953053951) and next prime (578974953053953).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (578974953053951) by changing a digit.

It is a polite number, since it can be written in 599 ways as a sum of consecutive naturals, for example, 6505336551124 + ... + 6505336551212.

Almost surely, 2^{578974953053952} is an apocalyptic number.

578974953053952 is a gapful number since it is divisible by the number (52) 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 578974953053952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206743743081800).

578974953053952 is an abundant number, since it is smaller than the sum of its proper divisors (1834512533109648).

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

578974953053952 is an equidigital number, since it uses as much as digits as its factorization.

578974953053952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 12859560000, while the sum is 81.

The spelling of 578974953053952 in words is "five hundred seventy-eight trillion, nine hundred seventy-four billion, nine hundred fifty-three million, fifty-three thousand, nine hundred fifty-two".