1596812078400 has 1344 divisors, whose sum is σ = 6847885516800. Its totient is φ = 322701926400.

The previous prime is 1596812078377. The next prime is 1596812078417. The reversal of 1596812078400 is 48702186951.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 670083609 + ... + 670085991.

Almost surely, 2^{1596812078400} is an apocalyptic number.

1596812078400 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 1596812078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3423942758400).

1596812078400 is an abundant number, since it is smaller than the sum of its proper divisors (5251073438400).

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

1596812078400 is a wasteful number, since it uses less digits than its factorization.

1596812078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2477 (or 2448 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 1596812078400 in words is "one trillion, five hundred ninety-six billion, eight hundred twelve million, seventy-eight thousand, four hundred".