19945616953500 has 2304 divisors, whose sum is σ = 80936879063040. Its totient is φ = 4031078400000.

The previous prime is 19945616953499. The next prime is 19945616953543. The reversal of 19945616953500 is 535961654991.

19945616953500 is a `hidden beast` number, since 1 + 9 + 9 + 4 + 5 + 61 + 69 + 5 + 3 + 500 = 666.

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 767 ways as a sum of consecutive naturals, for example, 132090178425 + ... + 132090178575.

It is an arithmetic number, because the mean of its divisors is an integer number (35128853760).

Almost surely, 2^{19945616953500} is an apocalyptic number.

19945616953500 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 19945616953500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40468439531520).

19945616953500 is an abundant number, since it is smaller than the sum of its proper divisors (60991262109540).

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

19945616953500 is a wasteful number, since it uses less digits than its factorization.

19945616953500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 39366000, while the sum is 63.

The spelling of 19945616953500 in words is "nineteen trillion, nine hundred forty-five billion, six hundred sixteen million, nine hundred fifty-three thousand, five hundred".