1525555418112 has 264 divisors, whose sum is σ = 4808884454400. Its totient is φ = 461960478720.

The previous prime is 1525555418089. The next prime is 1525555418173. The reversal of 1525555418112 is 2118145555251.

1525555418112 is a `hidden beast` number, since 1 + 5 + 2 + 5 + 5 + 554 + 1 + 81 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168583764 + ... + 168592812.

Almost surely, 2^{1525555418112} is an apocalyptic number.

1525555418112 is a gapful number since it is divisible by the number (12) 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 1525555418112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2404442227200).

1525555418112 is an abundant number, since it is smaller than the sum of its proper divisors (3283329036288).

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

1525555418112 is a wasteful number, since it uses less digits than its factorization.

1525555418112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10749 (or 10728 counting only the distinct ones).

The product of its digits is 400000, while the sum is 45.

The spelling of 1525555418112 in words is "one trillion, five hundred twenty-five billion, five hundred fifty-five million, four hundred eighteen thousand, one hundred twelve".