1596251255040 has 1728 divisors, whose sum is σ = 6479724625920. Its totient is φ = 359698268160.

The previous prime is 1596251254981. The next prime is 1596251255047. The reversal of 1596251255040 is 405521526951.

1596251255040 is a `hidden beast` number, since 1 + 5 + 9 + 6 + 2 + 51 + 2 + 550 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1596251255047) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12568907457 + ... + 12568907583.

It is an arithmetic number, because the mean of its divisors is an integer number (3749840640).

Almost surely, 2^{1596251255040} is an apocalyptic number.

1596251255040 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 1596251255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3239862312960).

1596251255040 is an abundant number, since it is smaller than the sum of its proper divisors (4883473370880).

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

1596251255040 is a wasteful number, since it uses less digits than its factorization.

1596251255040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The spelling of 1596251255040 in words is "one trillion, five hundred ninety-six billion, two hundred fifty-one million, two hundred fifty-five thousand, forty".