20949269760 has 720 divisors, whose sum is σ = 79396939776. Its totient is φ = 5267275776.

The previous prime is 20949269713. The next prime is 20949269767. The reversal of 20949269760 is 6796294902.

20949269760 is a `hidden beast` number, since 2 + 0 + 9 + 492 + 6 + 97 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a junction number, because it is equal to n+sod(n) for n = 20949269697 and 20949269706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20949269767) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 164954817 + ... + 164954943.

Almost surely, 2^20949269760 is an apocalyptic number.

20949269760 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 20949269760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39698469888).

20949269760 is an abundant number, since it is smaller than the sum of its proper divisors (58447670016).

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

20949269760 is a wasteful number, since it uses less digits than its factorization.

20949269760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 20949269760 in words is "twenty billion, nine hundred forty-nine million, two hundred sixty-nine thousand, seven hundred sixty".