19939465331100 has 648 divisors, whose sum is σ = 73954052106480. Its totient is φ = 4479605544960.

The previous prime is 19939465331087. The next prime is 19939465331101. The reversal of 19939465331100 is 113356493991.

19939465331100 is a `hidden beast` number, since 1 + 9 + 9 + 3 + 94 + 6 + 533 + 1 + 10 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19939465331101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 943244331 + ... + 943265469.

Almost surely, 2^{19939465331100} is an apocalyptic number.

19939465331100 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 19939465331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36977026053240).

19939465331100 is an abundant number, since it is smaller than the sum of its proper divisors (54014586775380).

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

19939465331100 is a wasteful number, since it uses less digits than its factorization.

19939465331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21539 (or 21522 counting only the distinct ones).

The product of its (nonzero) digits is 2361960, while the sum is 54.

The spelling of 19939465331100 in words is "nineteen trillion, nine hundred thirty-nine billion, four hundred sixty-five million, three hundred thirty-one thousand, one hundred".