551791602300672 has 1080 divisors, whose sum is σ = 1746924922985088. Its totient is φ = 173194113945600.

The previous prime is 551791602300637. The next prime is 551791602300703. The reversal of 551791602300672 is 276003206197155.

It is a happy number.

551791602300672 is a `hidden beast` number, since 5 + 5 + 179 + 160 + 2 + 300 + 6 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 301360786797 + ... + 301360788627.

Almost surely, 2^{551791602300672} 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 551791602300672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873462461492544).

551791602300672 is an abundant number, since it is smaller than the sum of its proper divisors (1195133320684416).

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

551791602300672 is a wasteful number, since it uses less digits than its factorization.

551791602300672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2319 (or 2273 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 551791602300672 in words is "five hundred fifty-one trillion, seven hundred ninety-one billion, six hundred two million, three hundred thousand, six hundred seventy-two".