19374664820100 has 72 divisors (see below), whose sum is σ = 56846903940288. Its totient is φ = 5093808585600.

The previous prime is 19374664820089. The next prime is 19374664820101. The reversal of 19374664820100 is 102846647391.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (19374664820101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 454783039 + ... + 454825638.

It is an arithmetic number, because the mean of its divisors is an integer number (789540332504).

Almost surely, 2^{19374664820100} is an apocalyptic number.

19374664820100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19374664820100 is an abundant number, since it is smaller than the sum of its proper divisors (37472239120188).

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

19374664820100 is a wasteful number, since it uses less digits than its factorization.

19374664820100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909608765 (or 909608758 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 19374664820100 in words is "nineteen trillion, three hundred seventy-four billion, six hundred sixty-four million, eight hundred twenty thousand, one hundred".