551146915872 has 288 divisors, whose sum is σ = 1966841315712. Its totient is φ = 148207325184.

The previous prime is 551146915871. The next prime is 551146915897. The reversal of 551146915872 is 278519641155.

551146915872 is a `hidden beast` number, since 5 + 5 + 11 + 46 + 9 + 1 + 587 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (551146915871) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 627538 + ... + 1223150.

It is an arithmetic number, because the mean of its divisors is an integer number (6829310124).

Almost surely, 2^551146915872 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 551146915872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983420657856).

551146915872 is an abundant number, since it is smaller than the sum of its proper divisors (1415694399840).

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

551146915872 is a wasteful number, since it uses less digits than its factorization.

551146915872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595662 (or 595642 counting only the distinct ones).

The product of its digits is 3024000, while the sum is 54.

The spelling of 551146915872 in words is "five hundred fifty-one billion, one hundred forty-six million, nine hundred fifteen thousand, eight hundred seventy-two".