1596728427840 has 2688 divisors, whose sum is σ = 7515297054720. Its totient is φ = 313528320000.

The previous prime is 1596728427823. The next prime is 1596728427851. The reversal of 1596728427840 is 487248276951.

It is a happy number.

1596728427840 is a `hidden beast` number, since 1 + 59 + 67 + 28 + 427 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6361467715 + ... + 6361467965.

It is an arithmetic number, because the mean of its divisors is an integer number (2795869440).

Almost surely, 2^{1596728427840} is an apocalyptic number.

1596728427840 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 1596728427840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3757648527360).

1596728427840 is an abundant number, since it is smaller than the sum of its proper divisors (5918568626880).

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

1596728427840 is a wasteful number, since it uses less digits than its factorization.

1596728427840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 1596728427840 in words is "one trillion, five hundred ninety-six billion, seven hundred twenty-eight million, four hundred twenty-seven thousand, eight hundred forty".