325757754241920 has 8192 divisors, whose sum is σ = 1710331822080000. Its totient is φ = 56344801443840.

The previous prime is 325757754241897. The next prime is 325757754241939. The reversal of 325757754241920 is 29142457757523.

325757754241920 is a `hidden beast` number, since 3 + 2 + 5 + 7 + 5 + 77 + 542 + 4 + 19 + 2 + 0 = 666.

It is a super-2 number, since 2×325757754241920² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 859519140291 + ... + 859519140669.

It is an arithmetic number, because the mean of its divisors is an integer number (208780740000).

Almost surely, 2^{325757754241920} is an apocalyptic number.

325757754241920 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 325757754241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855165911040000).

325757754241920 is an abundant number, since it is smaller than the sum of its proper divisors (1384574067838080).

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

325757754241920 is a wasteful number, since it uses less digits than its factorization.

325757754241920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 148176000, while the sum is 63.

The spelling of 325757754241920 in words is "three hundred twenty-five trillion, seven hundred fifty-seven billion, seven hundred fifty-four million, two hundred forty-one thousand, nine hundred twenty".