20778036048 has 360 divisors, whose sum is σ = 75200070816. Its totient is φ = 5294016000.

The previous prime is 20778035963. The next prime is 20778036053. The reversal of 20778036048 is 84063087702.

It is a happy number.

20778036048 is a `hidden beast` number, since 207 + 7 + 80 + 360 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20778035994 and 20778036012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4111123 + ... + 4116173.

Almost surely, 2^20778036048 is an apocalyptic number.

20778036048 is a gapful number since it is divisible by the number (28) 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 20778036048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37600035408).

20778036048 is an abundant number, since it is smaller than the sum of its proper divisors (54422034768).

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

20778036048 is a wasteful number, since it uses less digits than its factorization.

20778036048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5143 (or 5127 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 20778036048 in words is "twenty billion, seven hundred seventy-eight million, thirty-six thousand, forty-eight".