20381967360 has 352 divisors, whose sum is σ = 73998558720. Its totient is φ = 5317853184.

The previous prime is 20381967329. The next prime is 20381967461. The reversal of 20381967360 is 6376918302.

20381967360 is a `hidden beast` number, since 203 + 81 + 9 + 6 + 7 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6495712 + ... + 6498848.

Almost surely, 2^20381967360 is an apocalyptic number.

20381967360 is a gapful number since it is divisible by the number (20) 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 20381967360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36999279360).

20381967360 is an abundant number, since it is smaller than the sum of its proper divisors (53616591360).

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

20381967360 is a wasteful number, since it uses less digits than its factorization.

20381967360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3218 (or 3194 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 20381967360 in words is "twenty billion, three hundred eighty-one million, nine hundred sixty-seven thousand, three hundred sixty".