19975415128032 has 1152 divisors, whose sum is σ = 71598710937600. Its totient is φ = 4741551489024.

The previous prime is 19975415128027. The next prime is 19975415128037. The reversal of 19975415128032 is 23082151457991.

It is an interprime number because it is at equal distance from previous prime (19975415128027) and next prime (19975415128037).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19975415128037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7980588093 + ... + 7980590595.

It is an arithmetic number, because the mean of its divisors is an integer number (62151658800).

Almost surely, 2^{19975415128032} is an apocalyptic number.

19975415128032 is a gapful number since it is divisible by the number (12) 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 19975415128032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35799355468800).

19975415128032 is an abundant number, since it is smaller than the sum of its proper divisors (51623295809568).

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

19975415128032 is a wasteful number, since it uses less digits than its factorization.

19975415128032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2708 (or 2683 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 57.

The spelling of 19975415128032 in words is "nineteen trillion, nine hundred seventy-five billion, four hundred fifteen million, one hundred twenty-eight thousand, thirty-two".