19985153760 has 1152 divisors, whose sum is σ = 88176574080. Its totient is φ = 4184801280.

The previous prime is 19985153753. The next prime is 19985153803. The reversal of 19985153760 is 6735158991.

19985153760 is a `hidden beast` number, since 1 + 9 + 98 + 515 + 37 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 19985153697 and 19985153706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 115521034 + ... + 115521206.

It is an arithmetic number, because the mean of its divisors is an integer number (76542165).

Almost surely, 2^19985153760 is an apocalyptic number.

19985153760 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 19985153760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44088287040).

19985153760 is an abundant number, since it is smaller than the sum of its proper divisors (68191420320).

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

19985153760 is a wasteful number, since it uses less digits than its factorization.

19985153760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The spelling of 19985153760 in words is "nineteen billion, nine hundred eighty-five million, one hundred fifty-three thousand, seven hundred sixty".