2350675728000 has 320 divisors, whose sum is σ = 8730479763720. Its totient is φ = 626846515200.

The previous prime is 2350675727989. The next prime is 2350675728001. The reversal of 2350675728000 is 8275760532.

2350675728000 is a `hidden beast` number, since 2 + 3 + 506 + 75 + 72 + 8 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 625782252096 + 1724893475904 = 791064^2 + 1313352^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2350675728001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 389104 + ... + 2202896.

Almost surely, 2^{2350675728000} is an apocalyptic number.

2350675728000 is a gapful number since it is divisible by the number (20) 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 2350675728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4365239881860).

2350675728000 is an abundant number, since it is smaller than the sum of its proper divisors (6379804035720).

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

2350675728000 is an equidigital number, since it uses as much as digits as its factorization.

2350675728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813834 (or 1813803 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 2350675728000 in words is "two trillion, three hundred fifty billion, six hundred seventy-five million, seven hundred twenty-eight thousand".