1578413209600 has 144 divisors (see below), whose sum is σ = 3919971215160. Its totient is φ = 630322790400.

The previous prime is 1578413209591. The next prime is 1578413209609. The reversal of 1578413209600 is 69023148751.

It is an interprime number because it is at equal distance from previous prime (1578413209591) and next prime (1578413209609).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1578413209609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31360455 + ... + 31410745.

It is a 1-persistent number, because it is pandigital, but 2⋅1578413209600 = 3156826419200 is not.

Almost surely, 2^{1578413209600} is an apocalyptic number.

1578413209600 is a gapful number since it is divisible by the number (10) 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 1578413209600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959985607580).

1578413209600 is an abundant number, since it is smaller than the sum of its proper divisors (2341558005560).

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

1578413209600 is an equidigital number, since it uses as much as digits as its factorization.

1578413209600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50936 (or 50911 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 1578413209600 in words is "one trillion, five hundred seventy-eight billion, four hundred thirteen million, two hundred nine thousand, six hundred".