20067622496100 has 81 divisors (see below), whose sum is σ = 62901269089113. Its totient is φ = 5351330161440.

The previous prime is 20067622496081. The next prime is 20067622496113. The reversal of 20067622496100 is 169422676002.

The square root of 20067622496100 is 4479690.

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

20067622496100 is a `hidden beast` number, since 2 + 0 + 0 + 6 + 7 + 6 + 2 + 24 + 9 + 610 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7224344098596 + 12843278397504 = 2687814^2 + 3583752^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 134316039 + ... + 134465361.

Almost surely, 2^{20067622496100} is an apocalyptic number.

20067622496100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20067622496100 is the 4479690-th square number.

It is an amenable number.

20067622496100 is an abundant number, since it is smaller than the sum of its proper divisors (42833646593013).

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

20067622496100 is an frugal number, since it uses more digits than its factorization.

20067622496100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298666 (or 149333 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 20067622496100 in words is "twenty trillion, sixty-seven billion, six hundred twenty-two million, four hundred ninety-six thousand, one hundred".