19991158560 has 384 divisors, whose sum is σ = 74608128000. Its totient is φ = 4984851456.

The previous prime is 19991158549. The next prime is 19991158589. The reversal of 19991158560 is 6585119991.

19991158560 is a `hidden beast` number, since 19 + 9 + 9 + 11 + 58 + 560 = 666.

It is a super-2 number, since 2×19991158560² (a number of 21 digits) contains 22 as substring.

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 = 19991158497 and 19991158506.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6482779 + ... + 6485861.

It is an arithmetic number, because the mean of its divisors is an integer number (194292000).

Almost surely, 2^19991158560 is an apocalyptic number.

19991158560 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 19991158560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37304064000).

19991158560 is an abundant number, since it is smaller than the sum of its proper divisors (54616969440).

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

19991158560 is a wasteful number, since it uses less digits than its factorization.

19991158560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3205 (or 3191 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 54.

The spelling of 19991158560 in words is "nineteen billion, nine hundred ninety-one million, one hundred fifty-eight thousand, five hundred sixty".