19975561760 has 384 divisors, whose sum is σ = 61275045888. Its totient is φ = 5971968000.

The previous prime is 19975561757. The next prime is 19975561831. The reversal of 19975561760 is 6716557991.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 19975561696 and 19975561705.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73710425 + ... + 73710695.

It is an arithmetic number, because the mean of its divisors is an integer number (159570432).

Almost surely, 2^19975561760 is an apocalyptic number.

19975561760 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 19975561760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30637522944).

19975561760 is an abundant number, since it is smaller than the sum of its proper divisors (41299484128).

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

19975561760 is a wasteful number, since it uses less digits than its factorization.

19975561760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 56.

The spelling of 19975561760 in words is "nineteen billion, nine hundred seventy-five million, five hundred sixty-one thousand, seven hundred sixty".