16235830250640 has 1920 divisors, whose sum is σ = 75923700572160. Its totient is φ = 3079669248000.

The previous prime is 16235830250581. The next prime is 16235830250707. The reversal of 16235830250640 is 4605203853261.

16235830250640 is a `hidden beast` number, since 1 + 6 + 2 + 3 + 583 + 0 + 2 + 5 + 0 + 64 + 0 = 666.

It is a super-4 number, since 4×16235830250640⁴ (a number of 54 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 72806413569 + ... + 72806413791.

It is an arithmetic number, because the mean of its divisors is an integer number (39543594048).

Almost surely, 2^{16235830250640} is an apocalyptic number.

16235830250640 is a gapful number since it is divisible by the number (10) 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 16235830250640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37961850286080).

16235830250640 is an abundant number, since it is smaller than the sum of its proper divisors (59687870321520).

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

16235830250640 is a wasteful number, since it uses less digits than its factorization.

16235830250640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 16235830250640 in words is "sixteen trillion, two hundred thirty-five billion, eight hundred thirty million, two hundred fifty thousand, six hundred forty".