19656120052800 has 5040 divisors, whose sum is σ = 98221772689920. Its totient is φ = 3804143616000.

The previous prime is 19656120052757. The next prime is 19656120052801. The reversal of 19656120052800 is 825002165691.

19656120052800 is a `hidden beast` number, since 1 + 9 + 6 + 5 + 612 + 0 + 0 + 5 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

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 (19656120052801) by changing a digit.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 62799105444 + ... + 62799105756.

Almost surely, 2^{19656120052800} is an apocalyptic number.

19656120052800 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 19656120052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49110886344960).

19656120052800 is an abundant number, since it is smaller than the sum of its proper divisors (78565652637120).

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

19656120052800 is a wasteful number, since it uses less digits than its factorization.

19656120052800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 19656120052800 in words is "nineteen trillion, six hundred fifty-six billion, one hundred twenty million, fifty-two thousand, eight hundred".