325363201954560 has 6912 divisors, whose sum is σ = 1639370330357760. Its totient is φ = 59647060869120.

The previous prime is 325363201954547. The next prime is 325363201954589. The reversal of 325363201954560 is 65459102363523.

It is a happy number.

325363201954560 is a `hidden beast` number, since 3 + 2 + 5 + 3 + 6 + 3 + 20 + 1 + 9 + 54 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a super-3 number, since 3×325363201954560³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 325363201954497 and 325363201954506.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1059814989927 + ... + 1059814990233.

It is an arithmetic number, because the mean of its divisors is an integer number (237177420480).

Almost surely, 2^{325363201954560} is an apocalyptic number.

325363201954560 is a gapful number since it is divisible by the number (30) 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 325363201954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819685165178880).

325363201954560 is an abundant number, since it is smaller than the sum of its proper divisors (1314007128403200).

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

325363201954560 is a wasteful number, since it uses less digits than its factorization.

325363201954560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 17496000, while the sum is 54.

The spelling of 325363201954560 in words is "three hundred twenty-five trillion, three hundred sixty-three billion, two hundred one million, nine hundred fifty-four thousand, five hundred sixty".