20192946433920 has 1024 divisors, whose sum is σ = 78967458662400. Its totient is φ = 4845224853504.

The previous prime is 20192946433879. The next prime is 20192946433937. The reversal of 20192946433920 is 2933464929102.

20192946433920 is a `hidden beast` number, since 2 + 0 + 1 + 92 + 9 + 464 + 3 + 3 + 92 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5573541229 + ... + 5573544851.

It is an arithmetic number, because the mean of its divisors is an integer number (77116658850).

Almost surely, 2^{20192946433920} is an apocalyptic number.

20192946433920 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 20192946433920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39483729331200).

20192946433920 is an abundant number, since it is smaller than the sum of its proper divisors (58774512228480).

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

20192946433920 is a wasteful number, since it uses less digits than its factorization.

20192946433920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4284 (or 4266 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 20192946433920 in words is "twenty trillion, one hundred ninety-two billion, nine hundred forty-six million, four hundred thirty-three thousand, nine hundred twenty".