1415959825896 has 432 divisors, whose sum is σ = 5028722637120. Its totient is φ = 355908470400.

The previous prime is 1415959825879. The next prime is 1415959825901. The reversal of 1415959825896 is 6985289595141.

1415959825896 is a `hidden beast` number, since 1 + 4 + 1 + 5 + 9 + 598 + 25 + 8 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 37275505 + ... + 37313471.

It is an arithmetic number, because the mean of its divisors is an integer number (11640561660).

Almost surely, 2^{1415959825896} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1415959825896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2514361318560).

1415959825896 is an abundant number, since it is smaller than the sum of its proper divisors (3612762811224).

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

1415959825896 is a wasteful number, since it uses less digits than its factorization.

1415959825896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38066 (or 38021 counting only the distinct ones).

The product of its digits is 279936000, while the sum is 72.

The spelling of 1415959825896 in words is "one trillion, four hundred fifteen billion, nine hundred fifty-nine million, eight hundred twenty-five thousand, eight hundred ninety-six".