20193792480 has 240 divisors, whose sum is σ = 71834273280. Its totient is φ = 5342174208.

The previous prime is 20193792469. The next prime is 20193792481. The reversal of 20193792480 is 8429739102.

20193792480 is a `hidden beast` number, since 20 + 19 + 379 + 248 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (20193792481) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1639786 + ... + 1652054.

It is an arithmetic number, because the mean of its divisors is an integer number (299309472).

Almost surely, 2^20193792480 is an apocalyptic number.

20193792480 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 20193792480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35917136640).

20193792480 is an abundant number, since it is smaller than the sum of its proper divisors (51640480800).

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

20193792480 is a wasteful number, since it uses less digits than its factorization.

20193792480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12423 (or 12406 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 20193792480 in words is "twenty billion, one hundred ninety-three million, seven hundred ninety-two thousand, four hundred eighty".