1325873020032 has 384 divisors, whose sum is σ = 4474505318400. Its totient is φ = 372531640320.

The previous prime is 1325873019959. The next prime is 1325873020091. The reversal of 1325873020032 is 2300203785231.

1325873020032 is a `hidden beast` number, since 13 + 2 + 587 + 30 + 2 + 0 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11257513 + ... + 11374679.

It is an arithmetic number, because the mean of its divisors is an integer number (11652357600).

Almost surely, 2^{1325873020032} is an apocalyptic number.

1325873020032 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 1325873020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2237252659200).

1325873020032 is an abundant number, since it is smaller than the sum of its proper divisors (3148632298368).

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

1325873020032 is a wasteful number, since it uses less digits than its factorization.

1325873020032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117264 (or 117249 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 1325873020032 in words is "one trillion, three hundred twenty-five billion, eight hundred seventy-three million, twenty thousand, thirty-two".