20745456400 has 60 divisors (see below), whose sum is σ = 49857160500. Its totient is φ = 8295485440.

The previous prime is 20745456373. The next prime is 20745456427. The reversal of 20745456400 is 465454702.

It is an interprime number because it is at equal distance from previous prime (20745456373) and next prime (20745456427).

It can be written as a sum of positive squares in 6 ways, for example, as 2724004864 + 18021451536 = 52192^2 + 134244^2 .

It is a super-2 number, since 2×20745456400² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20745456400.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1613196 + ... + 1626004.

It is an arithmetic number, because the mean of its divisors is an integer number (830952675).

Almost surely, 2^20745456400 is an apocalyptic number.

20745456400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20745456400 is an abundant number, since it is smaller than the sum of its proper divisors (29111704100).

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

20745456400 is a wasteful number, since it uses less digits than its factorization.

20745456400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16876 (or 16865 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 37.

The spelling of 20745456400 in words is "twenty billion, seven hundred forty-five million, four hundred fifty-six thousand, four hundred".