19723287785040 has 3840 divisors, whose sum is σ = 91187306496000. Its totient is φ = 3712175308800.

The previous prime is 19723287785017. The next prime is 19723287785077. The reversal of 19723287785040 is 4058778232791.

19723287785040 is a `hidden beast` number, since 1 + 97 + 2 + 32 + 8 + 7 + 7 + 8 + 504 + 0 = 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, 132371058886 + ... + 132371059034.

It is an arithmetic number, because the mean of its divisors is an integer number (23746694400).

Almost surely, 2^{19723287785040} is an apocalyptic number.

19723287785040 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 19723287785040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45593653248000).

19723287785040 is an abundant number, since it is smaller than the sum of its proper divisors (71464018710960).

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

19723287785040 is a wasteful number, since it uses less digits than its factorization.

19723287785040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 19723287785040 in words is "nineteen trillion, seven hundred twenty-three billion, two hundred eighty-seven million, seven hundred eighty-five thousand, forty".