19931297760 has 288 divisors, whose sum is σ = 78564481632. Its totient is φ = 4547543040.

The previous prime is 19931297753. The next prime is 19931297761. The reversal of 19931297760 is 6779213991.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 19931297697 and 19931297706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19931297761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232272 + ... + 306288.

It is an arithmetic number, because the mean of its divisors is an integer number (272793339).

Almost surely, 2^19931297760 is an apocalyptic number.

19931297760 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 19931297760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39282240816).

19931297760 is an abundant number, since it is smaller than the sum of its proper divisors (58633183872).

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

19931297760 is a wasteful number, since it uses less digits than its factorization.

19931297760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74066 (or 74055 counting only the distinct ones).

The product of its (nonzero) digits is 1285956, while the sum is 54.

The spelling of 19931297760 in words is "nineteen billion, nine hundred thirty-one million, two hundred ninety-seven thousand, seven hundred sixty".