551161546848900 has 729 divisors, whose sum is σ = 1987774292254023. Its totient is φ = 127653854515200.

The previous prime is 551161546848881. The next prime is 551161546848977. The reversal of 551161546848900 is 9848645161155.

It is a happy number.

The square root of 551161546848900 is 23476830.

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

551161546848900 is a `hidden beast` number, since 5 + 5 + 1 + 1 + 6 + 1 + 546 + 8 + 4 + 89 + 0 + 0 = 666.

It can be written as a sum of positive squares in 40 ways, for example, as 497008078767684 + 54153468081216 = 22293678^2 + 7358904^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 155651381130 + ... + 155651384670.

Almost surely, 2^{551161546848900} is an apocalyptic number.

551161546848900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

551161546848900 is the 23476830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 551161546848900

551161546848900 is an abundant number, since it is smaller than the sum of its proper divisors (1436612745405123).

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

551161546848900 is a wasteful number, since it uses less digits than its factorization.

551161546848900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7162 (or 3581 counting only the distinct ones).

The product of its (nonzero) digits is 41472000, while the sum is 63.

The spelling of 551161546848900 in words is "five hundred fifty-one trillion, one hundred sixty-one billion, five hundred forty-six million, eight hundred forty-eight thousand, nine hundred".