19815788160 has 960 divisors, whose sum is σ = 85474521000. Its totient is φ = 4356882432.

The previous prime is 19815788143. The next prime is 19815788171. The reversal of 19815788160 is 6188751891.

It is a happy number.

19815788160 is a `hidden beast` number, since 1 + 9 + 8 + 1 + 578 + 8 + 1 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11309046336 + 8506741824 = 106344^2 + 92232^2 .

It is a tau number, because it is divible by the number of its divisors (960).

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 = 19815788097 and 19815788106.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 73664506 + ... + 73664774.

Almost surely, 2^19815788160 is an apocalyptic number.

19815788160 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 19815788160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42737260500).

19815788160 is an abundant number, since it is smaller than the sum of its proper divisors (65658732840).

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

19815788160 is a wasteful number, since it uses less digits than its factorization.

19815788160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 54.

The spelling of 19815788160 in words is "nineteen billion, eight hundred fifteen million, seven hundred eighty-eight thousand, one hundred sixty".