551947665414960 has 320 divisors, whose sum is σ = 1920917153433600. Its totient is φ = 145656181628928.

The previous prime is 551947665414941. The next prime is 551947665415001. The reversal of 551947665414960 is 69414566749155.

551947665414960 is a `hidden beast` number, since 5 + 5 + 1 + 9 + 4 + 76 + 6 + 541 + 4 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2586836761 + ... + 2587050119.

It is an arithmetic number, because the mean of its divisors is an integer number (6002866104480).

Almost surely, 2^{551947665414960} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 551947665414960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960458576716800).

551947665414960 is an abundant number, since it is smaller than the sum of its proper divisors (1368969488018640).

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

551947665414960 is a wasteful number, since it uses less digits than its factorization.

551947665414960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225825 (or 225813 counting only the distinct ones).

The product of its (nonzero) digits is 979776000, while the sum is 72.

The spelling of 551947665414960 in words is "five hundred fifty-one trillion, nine hundred forty-seven billion, six hundred sixty-five million, four hundred fourteen thousand, nine hundred sixty".