20778293151 has 288 divisors, whose sum is σ = 41919897600. Its totient is φ = 10118908800.

The previous prime is 20778293147. The next prime is 20778293209. The reversal of 20778293151 is 15139287702.

20778293151 is a `hidden beast` number, since 207 + 7 + 8 + 293 + 151 = 666.

It is not a de Polignac number, because 20778293151 - 2² = 20778293147 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20778293097 and 20778293106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20778293131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 263016330 + ... + 263016408.

It is an arithmetic number, because the mean of its divisors is an integer number (145555200).

Almost surely, 2^20778293151 is an apocalyptic number.

20778293151 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20778293151 is an abundant number, since it is smaller than the sum of its proper divisors (21141604449).

20778293151 is a wasteful number, since it uses less digits than its factorization.

20778293151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 20778293151 in words is "twenty billion, seven hundred seventy-eight million, two hundred ninety-three thousand, one hundred fifty-one".