20895627456 has 504 divisors, whose sum is σ = 70346285520. Its totient is φ = 6076477440.

The previous prime is 20895627437. The next prime is 20895627457. The reversal of 20895627456 is 65472659802.

20895627456 is a `hidden beast` number, since 2 + 0 + 8 + 9 + 5 + 627 + 4 + 5 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20895627457) by changing a digit.

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, 286241436 + ... + 286241508.

Almost surely, 2^20895627456 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 20895627456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35173142760).

20895627456 is an abundant number, since it is smaller than the sum of its proper divisors (49450658064).

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

20895627456 is a wasteful number, since it uses less digits than its factorization.

20895627456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 20895627456 in words is "twenty billion, eight hundred ninety-five million, six hundred twenty-seven thousand, four hundred fifty-six".