19752665088000 has 1152 divisors, whose sum is σ = 74565045434880. Its totient is φ = 4603458355200.

The previous prime is 19752665087977. The next prime is 19752665088001. The reversal of 19752665088000 is 88056625791.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19752665088001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12140543187 + ... + 12140544813.

It is an arithmetic number, because the mean of its divisors is an integer number (64726601940).

Almost surely, 2^{19752665088000} is an apocalyptic number.

19752665088000 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 19752665088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37282522717440).

19752665088000 is an abundant number, since it is smaller than the sum of its proper divisors (54812380346880).

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

19752665088000 is an equidigital number, since it uses as much as digits as its factorization.

19752665088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 57.

The spelling of 19752665088000 in words is "nineteen trillion, seven hundred fifty-two billion, six hundred sixty-five million, eighty-eight thousand".