1325198524896 has 336 divisors, whose sum is σ = 4124351120400. Its totient is φ = 417794402304.

The previous prime is 1325198524889. The next prime is 1325198524939. The reversal of 1325198524896 is 6984258915231.

1325198524896 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 19 + 8 + 524 + 8 + 96 = 666.

It is a super-2 number, since 2×1325198524896² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 314249380 + ... + 314253596.

It is an arithmetic number, because the mean of its divisors is an integer number (12274854525).

Almost surely, 2^{1325198524896} is an apocalyptic number.

1325198524896 is a gapful number since it is divisible by the number (16) 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 1325198524896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062175560200).

1325198524896 is an abundant number, since it is smaller than the sum of its proper divisors (2799152595504).

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

1325198524896 is an equidigital number, since it uses as much as digits as its factorization.

1325198524896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4973 (or 4950 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 63.

The spelling of 1325198524896 in words is "one trillion, three hundred twenty-five billion, one hundred ninety-eight million, five hundred twenty-four thousand, eight hundred ninety-six".