71099804484900 has 81 divisors (see below), whose sum is σ = 222859180067251. Its totient is φ = 18959880406080.

The previous prime is 71099804484871. The next prime is 71099804484953. The reversal of 71099804484900 is 948440899017.

It is a happy number.

The square root of 71099804484900 is 8432070.

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

71099804484900 is a `hidden beast` number, since 7 + 10 + 9 + 98 + 0 + 4 + 48 + 490 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22301420663844 + 48798383821056 = 4722438^2 + 6985584^2 .

It is a Duffinian number.

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, 252821566 + ... + 253102634.

Almost surely, 2^{71099804484900} is an apocalyptic number.

71099804484900 is the 8432070-th square number.

It is an amenable number.

71099804484900 is an abundant number, since it is smaller than the sum of its proper divisors (151759375582351).

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

71099804484900 is an frugal number, since it uses more digits than its factorization.

71099804484900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562158 (or 281079 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 71099804484900 in words is "seventy-one trillion, ninety-nine billion, eight hundred four million, four hundred eighty-four thousand, nine hundred".