20395932480 has 672 divisors, whose sum is σ = 89296646400. Its totient is φ = 4235857920.

The previous prime is 20395932443. The next prime is 20395932481. The reversal of 20395932480 is 8423959302.

It is a happy number.

20395932480 is a `hidden beast` number, since 2 + 0 + 39 + 593 + 24 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20395932481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10865302 + ... + 10867178.

Almost surely, 2^20395932480 is an apocalyptic number.

20395932480 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 20395932480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44648323200).

20395932480 is an abundant number, since it is smaller than the sum of its proper divisors (68900713920).

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

20395932480 is a wasteful number, since it uses less digits than its factorization.

20395932480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 20395932480 in words is "twenty billion, three hundred ninety-five million, nine hundred thirty-two thousand, four hundred eighty".