551415060967680 has 6912 divisors, whose sum is σ = 2647903469912064. Its totient is φ = 106704257679360.

The previous prime is 551415060967663. The next prime is 551415060967717. The reversal of 551415060967680 is 86769060514155.

551415060967680 is a `hidden beast` number, since 5 + 5 + 1 + 4 + 1 + 506 + 0 + 9 + 67 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1948463112819 + ... + 1948463113101.

It is an arithmetic number, because the mean of its divisors is an integer number (383087886272).

Almost surely, 2^{551415060967680} 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 551415060967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323951734956032).

551415060967680 is an abundant number, since it is smaller than the sum of its proper divisors (2096488408944384).

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

551415060967680 is a wasteful number, since it uses less digits than its factorization.

551415060967680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 551415060967680 in words is "five hundred fifty-one trillion, four hundred fifteen billion, sixty million, nine hundred sixty-seven thousand, six hundred eighty".