20895307776 has 384 divisors, whose sum is σ = 72700992000. Its totient is φ = 5804752896.

The previous prime is 20895307759. The next prime is 20895307837. The reversal of 20895307776 is 67770359802.

20895307776 is a `hidden beast` number, since 20 + 89 + 530 + 7 + 7 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×20895307776² (a number of 21 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 14320935 + ... + 14322393.

It is an arithmetic number, because the mean of its divisors is an integer number (189325500).

Almost surely, 2^20895307776 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 20895307776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36350496000).

20895307776 is an abundant number, since it is smaller than the sum of its proper divisors (51805684224).

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

20895307776 is a wasteful number, since it uses less digits than its factorization.

20895307776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 20895307776 in words is "twenty billion, eight hundred ninety-five million, three hundred seven thousand, seven hundred seventy-six".