20946393720 has 512 divisors, whose sum is σ = 83091456000. Its totient is φ = 4592816640.

The previous prime is 20946393707. The next prime is 20946393803. The reversal of 20946393720 is 2739364902.

20946393720 is a `hidden beast` number, since 2 + 0 + 9 + 4 + 639 + 3 + 7 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32575719 + ... + 32576361.

It is an arithmetic number, because the mean of its divisors is an integer number (162288000).

Almost surely, 2^20946393720 is an apocalyptic number.

20946393720 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 20946393720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41545728000).

20946393720 is an abundant number, since it is smaller than the sum of its proper divisors (62145062280).

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

20946393720 is a wasteful number, since it uses less digits than its factorization.

20946393720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 20946393720 in words is "twenty billion, nine hundred forty-six million, three hundred ninety-three thousand, seven hundred twenty".