19661357145600 has 480 divisors, whose sum is σ = 72185932304640. Its totient is φ = 5241634283520.

The previous prime is 19661357145583. The next prime is 19661357145641. The reversal of 19661357145600 is 654175316691.

19661357145600 is a `hidden beast` number, since 1 + 9 + 6 + 6 + 1 + 3 + 5 + 71 + 4 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2413320727 + ... + 2413328873.

It is an arithmetic number, because the mean of its divisors is an integer number (150387358968).

Almost surely, 2^{19661357145600} is an apocalyptic number.

19661357145600 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 19661357145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36092966152320).

19661357145600 is an abundant number, since it is smaller than the sum of its proper divisors (52524575159040).

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

19661357145600 is an equidigital number, since it uses as much as digits as its factorization.

19661357145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15167 (or 15140 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 19661357145600 in words is "nineteen trillion, six hundred sixty-one billion, three hundred fifty-seven million, one hundred forty-five thousand, six hundred".