1599361646400 has 1512 divisors, whose sum is σ = 6990358302720. Its totient is φ = 345244999680.

The previous prime is 1599361646387. The next prime is 1599361646411. The reversal of 1599361646400 is 46461639951.

It is a happy number.

1599361646400 is a `hidden beast` number, since 1 + 59 + 93 + 61 + 6 + 46 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 961731969 + ... + 961733631.

Almost surely, 2^{1599361646400} is an apocalyptic number.

1599361646400 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 1599361646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3495179151360).

1599361646400 is an abundant number, since it is smaller than the sum of its proper divisors (5390996656320).

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

1599361646400 is a wasteful number, since it uses less digits than its factorization.

1599361646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1781 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

It can be divided in two parts, 159936 and 1646400, that added together give a square (1806336 = 1344²).

The spelling of 1599361646400 in words is "one trillion, five hundred ninety-nine billion, three hundred sixty-one million, six hundred forty-six thousand, four hundred".