551372679000 has 2304 divisors, whose sum is σ = 2446936128000. Its totient is φ = 110702592000.

The previous prime is 551372678993. The next prime is 551372679001. The reversal of 551372679000 is 976273155.

551372679000 is a `hidden beast` number, since 5 + 513 + 72 + 67 + 9 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×551372679000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (551372679001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 6979400961 + ... + 6979401039.

It is an arithmetic number, because the mean of its divisors is an integer number (1062038250).

Almost surely, 2^551372679000 is an apocalyptic number.

551372679000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 551372679000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223468064000).

551372679000 is an abundant number, since it is smaller than the sum of its proper divisors (1895563449000).

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

551372679000 is a wasteful number, since it uses less digits than its factorization.

551372679000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The spelling of 551372679000 in words is "five hundred fifty-one billion, three hundred seventy-two million, six hundred seventy-nine thousand".