19930442688 has 280 divisors, whose sum is σ = 63865006128. Its totient is φ = 6109323264.

The previous prime is 19930442671. The next prime is 19930442723. The reversal of 19930442688 is 88624403991.

19930442688 is a `hidden beast` number, since 1 + 99 + 30 + 442 + 6 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 29180395 + ... + 29181077.

Almost surely, 2^19930442688 is an apocalyptic number.

19930442688 is a gapful number since it is divisible by the number (18) 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 19930442688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31932503064).

19930442688 is an abundant number, since it is smaller than the sum of its proper divisors (43934563440).

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

19930442688 is a wasteful number, since it uses less digits than its factorization.

19930442688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 19930442688 in words is "nineteen billion, nine hundred thirty million, four hundred forty-two thousand, six hundred eighty-eight".