20875254400 has 960 divisors, whose sum is σ = 74396800800. Its totient is φ = 5689958400.

The previous prime is 20875254373. The next prime is 20875254409. The reversal of 20875254400 is 445257802.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 20875254400.

It is not an unprimeable number, because it can be changed into a prime (20875254409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1098697591 + ... + 1098697609.

Almost surely, 2^20875254400 is an apocalyptic number.

20875254400 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 20875254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37198400400).

20875254400 is an abundant number, since it is smaller than the sum of its proper divisors (53521546400).

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

20875254400 is a wasteful number, since it uses less digits than its factorization.

20875254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 37.

The spelling of 20875254400 in words is "twenty billion, eight hundred seventy-five million, two hundred fifty-four thousand, four hundred".