20933778456 has 256 divisors, whose sum is σ = 62224588800. Its totient is φ = 6510067200.

The previous prime is 20933778449. The next prime is 20933778479. The reversal of 20933778456 is 65487733902.

20933778456 is a `hidden beast` number, since 2 + 0 + 93 + 37 + 78 + 456 = 666.

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 63 ways as a sum of consecutive naturals, for example, 21647685 + ... + 21648651.

It is an arithmetic number, because the mean of its divisors is an integer number (243064800).

Almost surely, 2^20933778456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20933778456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31112294400).

20933778456 is an abundant number, since it is smaller than the sum of its proper divisors (41290810344).

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

20933778456 is a wasteful number, since it uses less digits than its factorization.

20933778456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 20933778456 in words is "twenty billion, nine hundred thirty-three million, seven hundred seventy-eight thousand, four hundred fifty-six".