20701454400 has 567 divisors, whose sum is σ = 81623612343. Its totient is φ = 4972492800.

The previous prime is 20701454317. The next prime is 20701454429. The reversal of 20701454400 is 445410702.

The square root of 20701454400 is 143880.

It is a perfect power (a square), and thus also a powerful number.

20701454400 is a `hidden beast` number, since 207 + 0 + 1 + 4 + 54 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 75898944 + 20625555456 = 8712^2 + 143616^2 .

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 80 ways as a sum of consecutive naturals, for example, 189921546 + ... + 189921654.

Almost surely, 2^20701454400 is an apocalyptic number.

20701454400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20701454400 is the 143880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20701454400

20701454400 is an abundant number, since it is smaller than the sum of its proper divisors (60922157943).

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

20701454400 is a wasteful number, since it uses less digits than its factorization.

20701454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The spelling of 20701454400 in words is "twenty billion, seven hundred one million, four hundred fifty-four thousand, four hundred".