20810625566976 has 972 divisors, whose sum is σ = 74407665962448. Its totient is φ = 5784033153024.

The previous prime is 20810625566971. The next prime is 20810625567019. The reversal of 20810625566976 is 67966552601802.

It is a happy number.

20810625566976 is a `hidden beast` number, since 2 + 0 + 8 + 1 + 0 + 6 + 2 + 556 + 6 + 9 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (972).

It is a super-2 number, since 2×20810625566976² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (20810625566971) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4172972355 + ... + 4172977341.

Almost surely, 2^{20810625566976} 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 20810625566976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37203832981224).

20810625566976 is an abundant number, since it is smaller than the sum of its proper divisors (53597040395472).

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

20810625566976 is an frugal number, since it uses more digits than its factorization.

20810625566976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5106 (or 5036 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 20810625566976 in words is "twenty trillion, eight hundred ten billion, six hundred twenty-five million, five hundred sixty-six thousand, nine hundred seventy-six".