19650135144600 has 576 divisors, whose sum is σ = 68296718730240. Its totient is φ = 5060153088000.

The previous prime is 19650135144599. The next prime is 19650135144713. The reversal of 19650135144600 is 644153105691.

19650135144600 is a `hidden beast` number, since 1 + 9 + 6 + 5 + 0 + 1 + 35 + 1 + 4 + 4 + 600 = 666.

It is a super-2 number, since 2×19650135144600² (a number of 27 digits) contains 22 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7702913325 + ... + 7702915875.

It is an arithmetic number, because the mean of its divisors is an integer number (118570692240).

Almost surely, 2^{19650135144600} is an apocalyptic number.

19650135144600 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 19650135144600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34148359365120).

19650135144600 is an abundant number, since it is smaller than the sum of its proper divisors (48646583585640).

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

19650135144600 is a wasteful number, since it uses less digits than its factorization.

19650135144600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3800 (or 3788 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 19650135144600 in words is "nineteen trillion, six hundred fifty billion, one hundred thirty-five million, one hundred forty-four thousand, six hundred".